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Finding the Fourth Proportional to 474,065.91, 654,430.41 and 280,412.55

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Solution

The fourth proportional to 474,065.91, 654,430.41 and 280,412.55 is: 387,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,065.91 : 654,430.41 = 280,412.55 : x
  2. Step 2: Convert to fraction form
    474,065.91/654,430.41 = 280,412.55/x
  3. Step 3: Cross multiply
    474,065.91x = 654,430.41 × 280,412.55
  4. Step 4: Simplify right side
    474,065.91x = 183,510,500,065.65
  5. Step 5: Solve for x
    x = 183,510,500,065.65/474,065.91
  6. Step 6: Final answer
    x = 387,099.13

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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.