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Finding the Fourth Proportional to 509,456.12, 703,023.76 and 283,096.76

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Solution

The fourth proportional to 509,456.12, 703,023.76 and 283,096.76 is: 390,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,456.12 : 703,023.76 = 283,096.76 : x
  2. Step 2: Convert to fraction form
    509,456.12/703,023.76 = 283,096.76/x
  3. Step 3: Cross multiply
    509,456.12x = 703,023.76 × 283,096.76
  4. Step 4: Simplify right side
    509,456.12x = 199,023,748,659.02
  5. Step 5: Solve for x
    x = 199,023,748,659.02/509,456.12
  6. Step 6: Final answer
    x = 390,659.26

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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.