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Finding the Fourth Proportional to 398,872.80, 598,309.20 and 286,898.40

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Solution

The fourth proportional to 398,872.80, 598,309.20 and 286,898.40 is: 430,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,872.80 : 598,309.20 = 286,898.40 : x
  2. Step 2: Convert to fraction form
    398,872.80/598,309.20 = 286,898.40/x
  3. Step 3: Cross multiply
    398,872.80x = 598,309.20 × 286,898.40
  4. Step 4: Simplify right side
    398,872.80x = 171,653,952,185.28
  5. Step 5: Solve for x
    x = 171,653,952,185.28/398,872.80
  6. Step 6: Final answer
    x = 430,347.60

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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.