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Finding the Fourth Proportional to 406,770.28, 610,178.66 and 136,790.08

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Solution

The fourth proportional to 406,770.28, 610,178.66 and 136,790.08 is: 205,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,770.28 : 610,178.66 = 136,790.08 : x
  2. Step 2: Convert to fraction form
    406,770.28/610,178.66 = 136,790.08/x
  3. Step 3: Cross multiply
    406,770.28x = 610,178.66 × 136,790.08
  4. Step 4: Simplify right side
    406,770.28x = 83,466,387,715.69
  5. Step 5: Solve for x
    x = 83,466,387,715.69/406,770.28
  6. Step 6: Final answer
    x = 205,192.94

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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.