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Finding the Fourth Proportional to 645,031.55, 966,628.47 and 475,216.40

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Solution

The fourth proportional to 645,031.55, 966,628.47 and 475,216.40 is: 712,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,031.55 : 966,628.47 = 475,216.40 : x
  2. Step 2: Convert to fraction form
    645,031.55/966,628.47 = 475,216.40/x
  3. Step 3: Cross multiply
    645,031.55x = 966,628.47 × 475,216.40
  4. Step 4: Simplify right side
    645,031.55x = 459,357,701,650.91
  5. Step 5: Solve for x
    x = 459,357,701,650.91/645,031.55
  6. Step 6: Final answer
    x = 712,147.65

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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.