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Finding the Fourth Proportional to 459,084.53, 688,679.18 and 122,138.90

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Solution

The fourth proportional to 459,084.53, 688,679.18 and 122,138.90 is: 183,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,084.53 : 688,679.18 = 122,138.90 : x
  2. Step 2: Convert to fraction form
    459,084.53/688,679.18 = 122,138.90/x
  3. Step 3: Cross multiply
    459,084.53x = 688,679.18 × 122,138.90
  4. Step 4: Simplify right side
    459,084.53x = 84,114,513,444.01
  5. Step 5: Solve for x
    x = 84,114,513,444.01/459,084.53
  6. Step 6: Final answer
    x = 183,222.28

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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.