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Finding the Fourth Proportional to 406,854.84, 610,274.16 and 126,371.28

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Solution

The fourth proportional to 406,854.84, 610,274.16 and 126,371.28 is: 189,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,854.84 : 610,274.16 = 126,371.28 : x
  2. Step 2: Convert to fraction form
    406,854.84/610,274.16 = 126,371.28/x
  3. Step 3: Cross multiply
    406,854.84x = 610,274.16 × 126,371.28
  4. Step 4: Simplify right side
    406,854.84x = 77,121,126,750.12
  5. Step 5: Solve for x
    x = 77,121,126,750.12/406,854.84
  6. Step 6: Final answer
    x = 189,554.40

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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.