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Finding the Fourth Proportional to 647,054,881.80, 970,582,322.70 and 543,742,751.40

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Solution

The fourth proportional to 647,054,881.80, 970,582,322.70 and 543,742,751.40 is: 815,614,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,054,881.80 : 970,582,322.70 = 543,742,751.40 : x
  2. Step 2: Convert to fraction form
    647,054,881.80/970,582,322.70 = 543,742,751.40/x
  3. Step 3: Cross multiply
    647,054,881.80x = 970,582,322.70 × 543,742,751.40
  4. Step 4: Simplify right side
    647,054,881.80x = 527,747,102,605,100,672
  5. Step 5: Solve for x
    x = 527,747,102,605,100,672/647,054,881.80
  6. Step 6: Final answer
    x = 815,614,127.10

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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.