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Finding the Fourth Proportional to 406,703.20, 610,151.40 and 140,465.92

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Solution

The fourth proportional to 406,703.20, 610,151.40 and 140,465.92 is: 210,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,703.20 : 610,151.40 = 140,465.92 : x
  2. Step 2: Convert to fraction form
    406,703.20/610,151.40 = 140,465.92/x
  3. Step 3: Cross multiply
    406,703.20x = 610,151.40 × 140,465.92
  4. Step 4: Simplify right side
    406,703.20x = 85,705,477,740.29
  5. Step 5: Solve for x
    x = 85,705,477,740.29/406,703.20
  6. Step 6: Final answer
    x = 210,732.24

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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.