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Finding the Fourth Proportional to 472,524, 708,786 and 122,316

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Solution

The fourth proportional to 472,524, 708,786 and 122,316 is: 183,474

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,524 : 708,786 = 122,316 : x
  2. Step 2: Convert to fraction form
    472,524/708,786 = 122,316/x
  3. Step 3: Cross multiply
    472,524x = 708,786 × 122,316
  4. Step 4: Simplify right side
    472,524x = 86,695,868,376
  5. Step 5: Solve for x
    x = 86,695,868,376/472,524
  6. Step 6: Final answer
    x = 183,474

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.