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Finding the Fourth Proportional to 559,140.40, 838,710.60 and 138,416.28

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Solution

The fourth proportional to 559,140.40, 838,710.60 and 138,416.28 is: 207,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,140.40 : 838,710.60 = 138,416.28 : x
  2. Step 2: Convert to fraction form
    559,140.40/838,710.60 = 138,416.28/x
  3. Step 3: Cross multiply
    559,140.40x = 838,710.60 × 138,416.28
  4. Step 4: Simplify right side
    559,140.40x = 116,091,201,248.57
  5. Step 5: Solve for x
    x = 116,091,201,248.57/559,140.40
  6. Step 6: Final answer
    x = 207,624.42

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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.