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Finding the Fourth Proportional to 538,948.60, 808,538.10 and 165,009.40

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Solution

The fourth proportional to 538,948.60, 808,538.10 and 165,009.40 is: 247,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,948.60 : 808,538.10 = 165,009.40 : x
  2. Step 2: Convert to fraction form
    538,948.60/808,538.10 = 165,009.40/x
  3. Step 3: Cross multiply
    538,948.60x = 808,538.10 × 165,009.40
  4. Step 4: Simplify right side
    538,948.60x = 133,416,386,758.14
  5. Step 5: Solve for x
    x = 133,416,386,758.14/538,948.60
  6. Step 6: Final answer
    x = 247,549.37

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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.