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Finding the Fourth Proportional to 282,341.28, 389,484 and 228,686.88

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Solution

The fourth proportional to 282,341.28, 389,484 and 228,686.88 is: 315,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,341.28 : 389,484 = 228,686.88 : x
  2. Step 2: Convert to fraction form
    282,341.28/389,484 = 228,686.88/x
  3. Step 3: Cross multiply
    282,341.28x = 389,484 × 228,686.88
  4. Step 4: Simplify right side
    282,341.28x = 89,069,880,769.92
  5. Step 5: Solve for x
    x = 89,069,880,769.92/282,341.28
  6. Step 6: Final answer
    x = 315,468.86

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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.