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Finding the Fourth Proportional to 311,498.94, 429,868.80 and 168,259.10

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Solution

The fourth proportional to 311,498.94, 429,868.80 and 168,259.10 is: 232,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,498.94 : 429,868.80 = 168,259.10 : x
  2. Step 2: Convert to fraction form
    311,498.94/429,868.80 = 168,259.10/x
  3. Step 3: Cross multiply
    311,498.94x = 429,868.80 × 168,259.10
  4. Step 4: Simplify right side
    311,498.94x = 72,329,337,406.08
  5. Step 5: Solve for x
    x = 72,329,337,406.08/311,498.94
  6. Step 6: Final answer
    x = 232,197.70

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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.