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Finding the Fourth Proportional to 642,711.60, 964,070.88 and 193,429.44

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Solution

The fourth proportional to 642,711.60, 964,070.88 and 193,429.44 is: 290,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,711.60 : 964,070.88 = 193,429.44 : x
  2. Step 2: Convert to fraction form
    642,711.60/964,070.88 = 193,429.44/x
  3. Step 3: Cross multiply
    642,711.60x = 964,070.88 × 193,429.44
  4. Step 4: Simplify right side
    642,711.60x = 186,479,690,438.71
  5. Step 5: Solve for x
    x = 186,479,690,438.71/642,711.60
  6. Step 6: Final answer
    x = 290,145.21

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1.5x scale

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.