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Finding the Fourth Proportional to 360,543.66, 540,390.78 and 147,178.32

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Solution

The fourth proportional to 360,543.66, 540,390.78 and 147,178.32 is: 220,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,543.66 : 540,390.78 = 147,178.32 : x
  2. Step 2: Convert to fraction form
    360,543.66/540,390.78 = 147,178.32/x
  3. Step 3: Cross multiply
    360,543.66x = 540,390.78 × 147,178.32
  4. Step 4: Simplify right side
    360,543.66x = 79,533,807,143.89
  5. Step 5: Solve for x
    x = 79,533,807,143.89/360,543.66
  6. Step 6: Final answer
    x = 220,594.11

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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.