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Finding the Fourth Proportional to 218,734.40, 328,101.60 and 147,875.60

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Solution

The fourth proportional to 218,734.40, 328,101.60 and 147,875.60 is: 221,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,734.40 : 328,101.60 = 147,875.60 : x
  2. Step 2: Convert to fraction form
    218,734.40/328,101.60 = 147,875.60/x
  3. Step 3: Cross multiply
    218,734.40x = 328,101.60 × 147,875.60
  4. Step 4: Simplify right side
    218,734.40x = 48,518,220,960.96
  5. Step 5: Solve for x
    x = 48,518,220,960.96/218,734.40
  6. Step 6: Final answer
    x = 221,813.40

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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.