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Finding the Fourth Proportional to 521,639.10, 782,458.65 and 433,065.60

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Solution

The fourth proportional to 521,639.10, 782,458.65 and 433,065.60 is: 649,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,639.10 : 782,458.65 = 433,065.60 : x
  2. Step 2: Convert to fraction form
    521,639.10/782,458.65 = 433,065.60/x
  3. Step 3: Cross multiply
    521,639.10x = 782,458.65 × 433,065.60
  4. Step 4: Simplify right side
    521,639.10x = 338,855,924,737.44
  5. Step 5: Solve for x
    x = 338,855,924,737.44/521,639.10
  6. Step 6: Final answer
    x = 649,598.40

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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.