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Finding the Fourth Proportional to 385,755.01, 578,470.21 and 145,828.55

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Solution

The fourth proportional to 385,755.01, 578,470.21 and 145,828.55 is: 218,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,755.01 : 578,470.21 = 145,828.55 : x
  2. Step 2: Convert to fraction form
    385,755.01/578,470.21 = 145,828.55/x
  3. Step 3: Cross multiply
    385,755.01x = 578,470.21 × 145,828.55
  4. Step 4: Simplify right side
    385,755.01x = 84,357,473,024.10
  5. Step 5: Solve for x
    x = 84,357,473,024.10/385,755.01
  6. Step 6: Final answer
    x = 218,681.47

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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.