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Finding the Fourth Proportional to 491,417.64, 737,176.80 and 188,066.97

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Solution

The fourth proportional to 491,417.64, 737,176.80 and 188,066.97 is: 282,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,417.64 : 737,176.80 = 188,066.97 : x
  2. Step 2: Convert to fraction form
    491,417.64/737,176.80 = 188,066.97/x
  3. Step 3: Cross multiply
    491,417.64x = 737,176.80 × 188,066.97
  4. Step 4: Simplify right side
    491,417.64x = 138,638,607,130.30
  5. Step 5: Solve for x
    x = 138,638,607,130.30/491,417.64
  6. Step 6: Final answer
    x = 282,119.72

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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.