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Finding the Fourth Proportional to 1,269,803,127.07, 1,905,328,690.93 and 570,789,147.40

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Solution

The fourth proportional to 1,269,803,127.07, 1,905,328,690.93 and 570,789,147.40 is: 856,464,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,803,127.07 : 1,905,328,690.93 = 570,789,147.40 : x
  2. Step 2: Convert to fraction form
    1,269,803,127.07/1,905,328,690.93 = 570,789,147.40/x
  3. Step 3: Cross multiply
    1,269,803,127.07x = 1,905,328,690.93 × 570,789,147.40
  4. Step 4: Simplify right side
    1,269,803,127.07x = 1,087,540,939,008,614,528
  5. Step 5: Solve for x
    x = 1,087,540,939,008,614,528/1,269,803,127.07
  6. Step 6: Final answer
    x = 856,464,215.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.