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Finding the Fourth Proportional to 645,031.05, 966,627.72 and 475,215.90

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Solution

The fourth proportional to 645,031.05, 966,627.72 and 475,215.90 is: 712,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,031.05 : 966,627.72 = 475,215.90 : x
  2. Step 2: Convert to fraction form
    645,031.05/966,627.72 = 475,215.90/x
  3. Step 3: Cross multiply
    645,031.05x = 966,627.72 × 475,215.90
  4. Step 4: Simplify right side
    645,031.05x = 459,356,861,924.75
  5. Step 5: Solve for x
    x = 459,356,861,924.75/645,031.05
  6. Step 6: Final answer
    x = 712,146.90

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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.