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Finding the Fourth Proportional to 406,952.10, 610,428.15 and 300,663.90

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Solution

The fourth proportional to 406,952.10, 610,428.15 and 300,663.90 is: 450,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,952.10 : 610,428.15 = 300,663.90 : x
  2. Step 2: Convert to fraction form
    406,952.10/610,428.15 = 300,663.90/x
  3. Step 3: Cross multiply
    406,952.10x = 610,428.15 × 300,663.90
  4. Step 4: Simplify right side
    406,952.10x = 183,533,708,248.79
  5. Step 5: Solve for x
    x = 183,533,708,248.79/406,952.10
  6. Step 6: Final answer
    x = 450,995.85

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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.