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Finding the Fourth Proportional to 311,417.83, 429,756.61 and 168,177.87

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Solution

The fourth proportional to 311,417.83, 429,756.61 and 168,177.87 is: 232,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,417.83 : 429,756.61 = 168,177.87 : x
  2. Step 2: Convert to fraction form
    311,417.83/429,756.61 = 168,177.87/x
  3. Step 3: Cross multiply
    311,417.83x = 429,756.61 × 168,177.87
  4. Step 4: Simplify right side
    311,417.83x = 72,275,551,288.22
  5. Step 5: Solve for x
    x = 72,275,551,288.22/311,417.83
  6. Step 6: Final answer
    x = 232,085.46

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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.