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Finding the Fourth Proportional to 459,984, 689,976 and 127,560

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Solution

The fourth proportional to 459,984, 689,976 and 127,560 is: 191,340

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,984 : 689,976 = 127,560 : x
  2. Step 2: Convert to fraction form
    459,984/689,976 = 127,560/x
  3. Step 3: Cross multiply
    459,984x = 689,976 × 127,560
  4. Step 4: Simplify right side
    459,984x = 88,013,338,560
  5. Step 5: Solve for x
    x = 88,013,338,560/459,984
  6. Step 6: Final answer
    x = 191,340

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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.