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Finding the Fourth Proportional to 459,807.59, 689,514.55 and 144,289.10

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Solution

The fourth proportional to 459,807.59, 689,514.55 and 144,289.10 is: 216,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,807.59 : 689,514.55 = 144,289.10 : x
  2. Step 2: Convert to fraction form
    459,807.59/689,514.55 = 144,289.10/x
  3. Step 3: Cross multiply
    459,807.59x = 689,514.55 × 144,289.10
  4. Step 4: Simplify right side
    459,807.59x = 99,489,435,219.47
  5. Step 5: Solve for x
    x = 99,489,435,219.47/459,807.59
  6. Step 6: Final answer
    x = 216,371.88

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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.