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Finding the Fourth Proportional to 459,002.20, 686,948.10 and 459,002.20

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Solution

The fourth proportional to 459,002.20, 686,948.10 and 459,002.20 is: 686,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,002.20 : 686,948.10 = 459,002.20 : x
  2. Step 2: Convert to fraction form
    459,002.20/686,948.10 = 459,002.20/x
  3. Step 3: Cross multiply
    459,002.20x = 686,948.10 × 459,002.20
  4. Step 4: Simplify right side
    459,002.20x = 315,310,689,185.82
  5. Step 5: Solve for x
    x = 315,310,689,185.82/459,002.20
  6. Step 6: Final answer
    x = 686,948.10

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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.