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Finding the Fourth Proportional to 435,665.80, 653,498.70 and 286,366.60

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Solution

The fourth proportional to 435,665.80, 653,498.70 and 286,366.60 is: 429,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,665.80 : 653,498.70 = 286,366.60 : x
  2. Step 2: Convert to fraction form
    435,665.80/653,498.70 = 286,366.60/x
  3. Step 3: Cross multiply
    435,665.80x = 653,498.70 × 286,366.60
  4. Step 4: Simplify right side
    435,665.80x = 187,140,200,823.42
  5. Step 5: Solve for x
    x = 187,140,200,823.42/435,665.80
  6. Step 6: Final answer
    x = 429,549.90

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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.