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Finding the Fourth Proportional to 406,563.71, 609,846.90 and 102,957.70

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Solution

The fourth proportional to 406,563.71, 609,846.90 and 102,957.70 is: 154,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,563.71 : 609,846.90 = 102,957.70 : x
  2. Step 2: Convert to fraction form
    406,563.71/609,846.90 = 102,957.70/x
  3. Step 3: Cross multiply
    406,563.71x = 609,846.90 × 102,957.70
  4. Step 4: Simplify right side
    406,563.71x = 62,788,434,176.13
  5. Step 5: Solve for x
    x = 62,788,434,176.13/406,563.71
  6. Step 6: Final answer
    x = 154,436.89

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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.