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Finding the Fourth Proportional to 559,128, 838,698.48 and 138,407.52

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Solution

The fourth proportional to 559,128, 838,698.48 and 138,407.52 is: 207,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,128 : 838,698.48 = 138,407.52 : x
  2. Step 2: Convert to fraction form
    559,128/838,698.48 = 138,407.52/x
  3. Step 3: Cross multiply
    559,128x = 838,698.48 × 138,407.52
  4. Step 4: Simplify right side
    559,128x = 116,082,176,644.57
  5. Step 5: Solve for x
    x = 116,082,176,644.57/559,128
  6. Step 6: Final answer
    x = 207,612.88

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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.