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Finding the Fourth Proportional to 229,797.55, 316,897.95 and 153,319.78

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Solution

The fourth proportional to 229,797.55, 316,897.95 and 153,319.78 is: 211,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,797.55 : 316,897.95 = 153,319.78 : x
  2. Step 2: Convert to fraction form
    229,797.55/316,897.95 = 153,319.78/x
  3. Step 3: Cross multiply
    229,797.55x = 316,897.95 × 153,319.78
  4. Step 4: Simplify right side
    229,797.55x = 48,586,723,976.45
  5. Step 5: Solve for x
    x = 48,586,723,976.45/229,797.55
  6. Step 6: Final answer
    x = 211,432.73

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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.