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Finding the Fourth Proportional to 491,026.60, 735,762.30 and 411,711.40

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Solution

The fourth proportional to 491,026.60, 735,762.30 and 411,711.40 is: 616,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,026.60 : 735,762.30 = 411,711.40 : x
  2. Step 2: Convert to fraction form
    491,026.60/735,762.30 = 411,711.40/x
  3. Step 3: Cross multiply
    491,026.60x = 735,762.30 × 411,711.40
  4. Step 4: Simplify right side
    491,026.60x = 302,921,726,600.22
  5. Step 5: Solve for x
    x = 302,921,726,600.22/491,026.60
  6. Step 6: Final answer
    x = 616,915.11

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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.