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Finding the Fourth Proportional to 406,487.80, 610,422.90 and 301,425.40

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Solution

The fourth proportional to 406,487.80, 610,422.90 and 301,425.40 is: 452,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,487.80 : 610,422.90 = 301,425.40 : x
  2. Step 2: Convert to fraction form
    406,487.80/610,422.90 = 301,425.40/x
  3. Step 3: Cross multiply
    406,487.80x = 610,422.90 × 301,425.40
  4. Step 4: Simplify right side
    406,487.80x = 183,996,966,801.66
  5. Step 5: Solve for x
    x = 183,996,966,801.66/406,487.80
  6. Step 6: Final answer
    x = 452,650.65

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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.