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Finding the Fourth Proportional to 407,918.40, 611,878.08 and 127,437.12

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Solution

The fourth proportional to 407,918.40, 611,878.08 and 127,437.12 is: 191,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,918.40 : 611,878.08 = 127,437.12 : x
  2. Step 2: Convert to fraction form
    407,918.40/611,878.08 = 127,437.12/x
  3. Step 3: Cross multiply
    407,918.40x = 611,878.08 × 127,437.12
  4. Step 4: Simplify right side
    407,918.40x = 77,975,980,306.33
  5. Step 5: Solve for x
    x = 77,975,980,306.33/407,918.40
  6. Step 6: Final answer
    x = 191,155.83

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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.