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Finding the Fourth Proportional to 459,990, 689,985 and 127,566

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Solution

The fourth proportional to 459,990, 689,985 and 127,566 is: 191,349

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,990 : 689,985 = 127,566 : x
  2. Step 2: Convert to fraction form
    459,990/689,985 = 127,566/x
  3. Step 3: Cross multiply
    459,990x = 689,985 × 127,566
  4. Step 4: Simplify right side
    459,990x = 88,018,626,510
  5. Step 5: Solve for x
    x = 88,018,626,510/459,990
  6. Step 6: Final answer
    x = 191,349

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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.