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Finding the Fourth Proportional to 406,045.40, 607,755.90 and 316,815.80

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Solution

The fourth proportional to 406,045.40, 607,755.90 and 316,815.80 is: 474,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,045.40 : 607,755.90 = 316,815.80 : x
  2. Step 2: Convert to fraction form
    406,045.40/607,755.90 = 316,815.80/x
  3. Step 3: Cross multiply
    406,045.40x = 607,755.90 × 316,815.80
  4. Step 4: Simplify right side
    406,045.40x = 192,546,671,663.22
  5. Step 5: Solve for x
    x = 192,546,671,663.22/406,045.40
  6. Step 6: Final answer
    x = 474,199.86

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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.