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Finding the Fourth Proportional to 311,518.16, 429,894.84 and 168,278.24

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Solution

The fourth proportional to 311,518.16, 429,894.84 and 168,278.24 is: 232,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,518.16 : 429,894.84 = 168,278.24 : x
  2. Step 2: Convert to fraction form
    311,518.16/429,894.84 = 168,278.24/x
  3. Step 3: Cross multiply
    311,518.16x = 429,894.84 × 168,278.24
  4. Step 4: Simplify right side
    311,518.16x = 72,341,947,060.28
  5. Step 5: Solve for x
    x = 72,341,947,060.28/311,518.16
  6. Step 6: Final answer
    x = 232,223.85

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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.