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Finding the Fourth Proportional to 472,521, 708,781.50 and 122,313

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Solution

The fourth proportional to 472,521, 708,781.50 and 122,313 is: 183,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,521 : 708,781.50 = 122,313 : x
  2. Step 2: Convert to fraction form
    472,521/708,781.50 = 122,313/x
  3. Step 3: Cross multiply
    472,521x = 708,781.50 × 122,313
  4. Step 4: Simplify right side
    472,521x = 86,693,191,609.50
  5. Step 5: Solve for x
    x = 86,693,191,609.50/472,521
  6. Step 6: Final answer
    x = 183,469.50

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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.