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Finding the Fourth Proportional to 918,223, 1,377,337.70 and 278,532.25

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Solution

The fourth proportional to 918,223, 1,377,337.70 and 278,532.25 is: 417,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,223 : 1,377,337.70 = 278,532.25 : x
  2. Step 2: Convert to fraction form
    918,223/1,377,337.70 = 278,532.25/x
  3. Step 3: Cross multiply
    918,223x = 1,377,337.70 × 278,532.25
  4. Step 4: Simplify right side
    918,223x = 383,632,968,590.83
  5. Step 5: Solve for x
    x = 383,632,968,590.83/918,223
  6. Step 6: Final answer
    x = 417,799.35

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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.