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Finding the Fourth Proportional to 431,602.90, 647,404.35 and 282,303.70

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Solution

The fourth proportional to 431,602.90, 647,404.35 and 282,303.70 is: 423,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,602.90 : 647,404.35 = 282,303.70 : x
  2. Step 2: Convert to fraction form
    431,602.90/647,404.35 = 282,303.70/x
  3. Step 3: Cross multiply
    431,602.90x = 647,404.35 × 282,303.70
  4. Step 4: Simplify right side
    431,602.90x = 182,764,643,401.10
  5. Step 5: Solve for x
    x = 182,764,643,401.10/431,602.90
  6. Step 6: Final answer
    x = 423,455.55

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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.