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Finding the Fourth Proportional to 459,508.88, 689,263.68 and 143,990.40

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Solution

The fourth proportional to 459,508.88, 689,263.68 and 143,990.40 is: 215,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,508.88 : 689,263.68 = 143,990.40 : x
  2. Step 2: Convert to fraction form
    459,508.88/689,263.68 = 143,990.40/x
  3. Step 3: Cross multiply
    459,508.88x = 689,263.68 × 143,990.40
  4. Step 4: Simplify right side
    459,508.88x = 99,247,352,988.67
  5. Step 5: Solve for x
    x = 99,247,352,988.67/459,508.88
  6. Step 6: Final answer
    x = 215,985.71

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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.