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Finding the Fourth Proportional to 385,642.80, 578,304.36 and 145,715.27

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Solution

The fourth proportional to 385,642.80, 578,304.36 and 145,715.27 is: 218,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,642.80 : 578,304.36 = 145,715.27 : x
  2. Step 2: Convert to fraction form
    385,642.80/578,304.36 = 145,715.27/x
  3. Step 3: Cross multiply
    385,642.80x = 578,304.36 × 145,715.27
  4. Step 4: Simplify right side
    385,642.80x = 84,267,773,068.06
  5. Step 5: Solve for x
    x = 84,267,773,068.06/385,642.80
  6. Step 6: Final answer
    x = 218,512.50

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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.