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Finding the Fourth Proportional to 406,358, 609,488.47 and 106,861.91

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Solution

The fourth proportional to 406,358, 609,488.47 and 106,861.91 is: 160,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,358 : 609,488.47 = 106,861.91 : x
  2. Step 2: Convert to fraction form
    406,358/609,488.47 = 106,861.91/x
  3. Step 3: Cross multiply
    406,358x = 609,488.47 × 106,861.91
  4. Step 4: Simplify right side
    406,358x = 65,131,102,027.18
  5. Step 5: Solve for x
    x = 65,131,102,027.18/406,358
  6. Step 6: Final answer
    x = 160,280.10

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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.