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Finding the Fourth Proportional to 484,941.80, 727,412.70 and 147,981.80

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Solution

The fourth proportional to 484,941.80, 727,412.70 and 147,981.80 is: 221,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,941.80 : 727,412.70 = 147,981.80 : x
  2. Step 2: Convert to fraction form
    484,941.80/727,412.70 = 147,981.80/x
  3. Step 3: Cross multiply
    484,941.80x = 727,412.70 × 147,981.80
  4. Step 4: Simplify right side
    484,941.80x = 107,643,840,688.86
  5. Step 5: Solve for x
    x = 107,643,840,688.86/484,941.80
  6. Step 6: Final answer
    x = 221,972.70

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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.