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Finding the Fourth Proportional to 456,204.30, 684,306.45 and 123,780.30

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Solution

The fourth proportional to 456,204.30, 684,306.45 and 123,780.30 is: 185,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,204.30 : 684,306.45 = 123,780.30 : x
  2. Step 2: Convert to fraction form
    456,204.30/684,306.45 = 123,780.30/x
  3. Step 3: Cross multiply
    456,204.30x = 684,306.45 × 123,780.30
  4. Step 4: Simplify right side
    456,204.30x = 84,703,657,672.94
  5. Step 5: Solve for x
    x = 84,703,657,672.94/456,204.30
  6. Step 6: Final answer
    x = 185,670.45

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Similar ratio
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1.5x scale

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.