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Finding the Fourth Proportional to 318,657.20, 477,409.80 and 185,428.40

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Solution

The fourth proportional to 318,657.20, 477,409.80 and 185,428.40 is: 277,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,657.20 : 477,409.80 = 185,428.40 : x
  2. Step 2: Convert to fraction form
    318,657.20/477,409.80 = 185,428.40/x
  3. Step 3: Cross multiply
    318,657.20x = 477,409.80 × 185,428.40
  4. Step 4: Simplify right side
    318,657.20x = 88,525,335,358.32
  5. Step 5: Solve for x
    x = 88,525,335,358.32/318,657.20
  6. Step 6: Final answer
    x = 277,807.42

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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.