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Finding the Fourth Proportional to 459,753.30, 689,655.87 and 139,915.58

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Solution

The fourth proportional to 459,753.30, 689,655.87 and 139,915.58 is: 209,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,753.30 : 689,655.87 = 139,915.58 : x
  2. Step 2: Convert to fraction form
    459,753.30/689,655.87 = 139,915.58/x
  3. Step 3: Cross multiply
    459,753.30x = 689,655.87 × 139,915.58
  4. Step 4: Simplify right side
    459,753.30x = 96,493,597,603.18
  5. Step 5: Solve for x
    x = 96,493,597,603.18/459,753.30
  6. Step 6: Final answer
    x = 209,881.25

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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.