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Finding the Fourth Proportional to 385,605.51, 578,402.07 and 105,122.76

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Solution

The fourth proportional to 385,605.51, 578,402.07 and 105,122.76 is: 157,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,605.51 : 578,402.07 = 105,122.76 : x
  2. Step 2: Convert to fraction form
    385,605.51/578,402.07 = 105,122.76/x
  3. Step 3: Cross multiply
    385,605.51x = 578,402.07 × 105,122.76
  4. Step 4: Simplify right side
    385,605.51x = 60,803,221,988.11
  5. Step 5: Solve for x
    x = 60,803,221,988.11/385,605.51
  6. Step 6: Final answer
    x = 157,682.45

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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.