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Finding the Fourth Proportional to 459,007.30, 688,510.95 and 425,829.70

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Solution

The fourth proportional to 459,007.30, 688,510.95 and 425,829.70 is: 638,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,007.30 : 688,510.95 = 425,829.70 : x
  2. Step 2: Convert to fraction form
    459,007.30/688,510.95 = 425,829.70/x
  3. Step 3: Cross multiply
    459,007.30x = 688,510.95 × 425,829.70
  4. Step 4: Simplify right side
    459,007.30x = 293,188,411,285.22
  5. Step 5: Solve for x
    x = 293,188,411,285.22/459,007.30
  6. Step 6: Final answer
    x = 638,744.55

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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.