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Finding the Fourth Proportional to 459,689.60, 689,923.20 and 207,358.40

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Solution

The fourth proportional to 459,689.60, 689,923.20 and 207,358.40 is: 311,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,689.60 : 689,923.20 = 207,358.40 : x
  2. Step 2: Convert to fraction form
    459,689.60/689,923.20 = 207,358.40/x
  3. Step 3: Cross multiply
    459,689.60x = 689,923.20 × 207,358.40
  4. Step 4: Simplify right side
    459,689.60x = 143,061,370,874.88
  5. Step 5: Solve for x
    x = 143,061,370,874.88/459,689.60
  6. Step 6: Final answer
    x = 311,212.98

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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.