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Finding the Fourth Proportional to 398,117.80, 595,718.70 and 293,141.80

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Solution

The fourth proportional to 398,117.80, 595,718.70 and 293,141.80 is: 438,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,117.80 : 595,718.70 = 293,141.80 : x
  2. Step 2: Convert to fraction form
    398,117.80/595,718.70 = 293,141.80/x
  3. Step 3: Cross multiply
    398,117.80x = 595,718.70 × 293,141.80
  4. Step 4: Simplify right side
    398,117.80x = 174,630,052,011.66
  5. Step 5: Solve for x
    x = 174,630,052,011.66/398,117.80
  6. Step 6: Final answer
    x = 438,639.15

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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.