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Finding the Fourth Proportional to 474,089.49, 654,122.05 and 280,488.04

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Solution

The fourth proportional to 474,089.49, 654,122.05 and 280,488.04 is: 387,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,089.49 : 654,122.05 = 280,488.04 : x
  2. Step 2: Convert to fraction form
    474,089.49/654,122.05 = 280,488.04/x
  3. Step 3: Cross multiply
    474,089.49x = 654,122.05 × 280,488.04
  4. Step 4: Simplify right side
    474,089.49x = 183,473,409,388.76
  5. Step 5: Solve for x
    x = 183,473,409,388.76/474,089.49
  6. Step 6: Final answer
    x = 387,001.64

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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.