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Finding the Fourth Proportional to 459,873.38, 689,578.18 and 139,963.88

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Solution

The fourth proportional to 459,873.38, 689,578.18 and 139,963.88 is: 209,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,873.38 : 689,578.18 = 139,963.88 : x
  2. Step 2: Convert to fraction form
    459,873.38/689,578.18 = 139,963.88/x
  3. Step 3: Cross multiply
    459,873.38x = 689,578.18 × 139,963.88
  4. Step 4: Simplify right side
    459,873.38x = 96,516,037,636.14
  5. Step 5: Solve for x
    x = 96,516,037,636.14/459,873.38
  6. Step 6: Final answer
    x = 209,875.24

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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.