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Finding the Fourth Proportional to 509,989.10, 703,781.07 and 280,541.45

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Solution

The fourth proportional to 509,989.10, 703,781.07 and 280,541.45 is: 387,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,989.10 : 703,781.07 = 280,541.45 : x
  2. Step 2: Convert to fraction form
    509,989.10/703,781.07 = 280,541.45/x
  3. Step 3: Cross multiply
    509,989.10x = 703,781.07 × 280,541.45
  4. Step 4: Simplify right side
    509,989.10x = 197,439,756,938.74
  5. Step 5: Solve for x
    x = 197,439,756,938.74/509,989.10
  6. Step 6: Final answer
    x = 387,145.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.