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Finding the Fourth Proportional to 311,417.61, 429,756.31 and 168,177.66

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Solution

The fourth proportional to 311,417.61, 429,756.31 and 168,177.66 is: 232,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,417.61 : 429,756.31 = 168,177.66 : x
  2. Step 2: Convert to fraction form
    311,417.61/429,756.31 = 168,177.66/x
  3. Step 3: Cross multiply
    311,417.61x = 429,756.31 × 168,177.66
  4. Step 4: Simplify right side
    311,417.61x = 72,275,410,586.03
  5. Step 5: Solve for x
    x = 72,275,410,586.03/311,417.61
  6. Step 6: Final answer
    x = 232,085.18

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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.