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Finding the Fourth Proportional to 459,712.95, 688,257.23 and 459,712.95

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Solution

The fourth proportional to 459,712.95, 688,257.23 and 459,712.95 is: 688,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,712.95 : 688,257.23 = 459,712.95 : x
  2. Step 2: Convert to fraction form
    459,712.95/688,257.23 = 459,712.95/x
  3. Step 3: Cross multiply
    459,712.95x = 688,257.23 × 459,712.95
  4. Step 4: Simplify right side
    459,712.95x = 316,400,759,263.56
  5. Step 5: Solve for x
    x = 316,400,759,263.56/459,712.95
  6. Step 6: Final answer
    x = 688,257.23

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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.