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Finding the Fourth Proportional to 491,963.40, 738,117.90 and 176,430.60

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Solution

The fourth proportional to 491,963.40, 738,117.90 and 176,430.60 is: 264,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,963.40 : 738,117.90 = 176,430.60 : x
  2. Step 2: Convert to fraction form
    491,963.40/738,117.90 = 176,430.60/x
  3. Step 3: Cross multiply
    491,963.40x = 738,117.90 × 176,430.60
  4. Step 4: Simplify right side
    491,963.40x = 130,226,583,967.74
  5. Step 5: Solve for x
    x = 130,226,583,967.74/491,963.40
  6. Step 6: Final answer
    x = 264,707.87

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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.