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Finding the Fourth Proportional to 347,147.84, 478,854.53 and 229,275.50

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Solution

The fourth proportional to 347,147.84, 478,854.53 and 229,275.50 is: 316,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,147.84 : 478,854.53 = 229,275.50 : x
  2. Step 2: Convert to fraction form
    347,147.84/478,854.53 = 229,275.50/x
  3. Step 3: Cross multiply
    347,147.84x = 478,854.53 × 229,275.50
  4. Step 4: Simplify right side
    347,147.84x = 109,789,611,793.02
  5. Step 5: Solve for x
    x = 109,789,611,793.02/347,147.84
  6. Step 6: Final answer
    x = 316,261.83

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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.