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Finding the Fourth Proportional to 509,613, 703,248.02 and 280,168.63

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Solution

The fourth proportional to 509,613, 703,248.02 and 280,168.63 is: 386,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,613 : 703,248.02 = 280,168.63 : x
  2. Step 2: Convert to fraction form
    509,613/703,248.02 = 280,168.63/x
  3. Step 3: Cross multiply
    509,613x = 703,248.02 × 280,168.63
  4. Step 4: Simplify right side
    509,613x = 197,028,032,205.28
  5. Step 5: Solve for x
    x = 197,028,032,205.28/509,613
  6. Step 6: Final answer
    x = 386,622.85

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1.5x scale

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.