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Finding the Fourth Proportional to 368,677.60, 553,016.14 and 102,438

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Solution

The fourth proportional to 368,677.60, 553,016.14 and 102,438 is: 153,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,677.60 : 553,016.14 = 102,438 : x
  2. Step 2: Convert to fraction form
    368,677.60/553,016.14 = 102,438/x
  3. Step 3: Cross multiply
    368,677.60x = 553,016.14 × 102,438
  4. Step 4: Simplify right side
    368,677.60x = 56,649,867,093.23
  5. Step 5: Solve for x
    x = 56,649,867,093.23/368,677.60
  6. Step 6: Final answer
    x = 153,656.93

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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.