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Finding the Fourth Proportional to 284,362.59, 392,240.14 and 216,230.20

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Solution

The fourth proportional to 284,362.59, 392,240.14 and 216,230.20 is: 298,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,362.59 : 392,240.14 = 216,230.20 : x
  2. Step 2: Convert to fraction form
    284,362.59/392,240.14 = 216,230.20/x
  3. Step 3: Cross multiply
    284,362.59x = 392,240.14 × 216,230.20
  4. Step 4: Simplify right side
    284,362.59x = 84,814,163,920.23
  5. Step 5: Solve for x
    x = 84,814,163,920.23/284,362.59
  6. Step 6: Final answer
    x = 298,260.63

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1.5x scale

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.