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Finding the Fourth Proportional to 491,708.65, 736,307.79 and 392,014.24

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Solution

The fourth proportional to 491,708.65, 736,307.79 and 392,014.24 is: 587,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,708.65 : 736,307.79 = 392,014.24 : x
  2. Step 2: Convert to fraction form
    491,708.65/736,307.79 = 392,014.24/x
  3. Step 3: Cross multiply
    491,708.65x = 736,307.79 × 392,014.24
  4. Step 4: Simplify right side
    491,708.65x = 288,643,138,702.93
  5. Step 5: Solve for x
    x = 288,643,138,702.93/491,708.65
  6. Step 6: Final answer
    x = 587,020.66

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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.