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Finding the Fourth Proportional to 398,012.28, 596,393.10 and 277,950.84

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Solution

The fourth proportional to 398,012.28, 596,393.10 and 277,950.84 is: 416,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,012.28 : 596,393.10 = 277,950.84 : x
  2. Step 2: Convert to fraction form
    398,012.28/596,393.10 = 277,950.84/x
  3. Step 3: Cross multiply
    398,012.28x = 596,393.10 × 277,950.84
  4. Step 4: Simplify right side
    398,012.28x = 165,767,963,115.20
  5. Step 5: Solve for x
    x = 165,767,963,115.20/398,012.28
  6. Step 6: Final answer
    x = 416,489.57

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1.5x scale

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.