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Finding the Fourth Proportional to 875,124, 1,207,640.88 and 493,128

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Solution

The fourth proportional to 875,124, 1,207,640.88 and 493,128 is: 680,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,124 : 1,207,640.88 = 493,128 : x
  2. Step 2: Convert to fraction form
    875,124/1,207,640.88 = 493,128/x
  3. Step 3: Cross multiply
    875,124x = 1,207,640.88 × 493,128
  4. Step 4: Simplify right side
    875,124x = 595,521,531,872.64
  5. Step 5: Solve for x
    x = 595,521,531,872.64/875,124
  6. Step 6: Final answer
    x = 680,499.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.