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Finding the Fourth Proportional to 409,557.48, 565,191.95 and 228,280.92

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Solution

The fourth proportional to 409,557.48, 565,191.95 and 228,280.92 is: 315,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,557.48 : 565,191.95 = 228,280.92 : x
  2. Step 2: Convert to fraction form
    409,557.48/565,191.95 = 228,280.92/x
  3. Step 3: Cross multiply
    409,557.48x = 565,191.95 × 228,280.92
  4. Step 4: Simplify right side
    409,557.48x = 129,022,538,322.59
  5. Step 5: Solve for x
    x = 129,022,538,322.59/409,557.48
  6. Step 6: Final answer
    x = 315,029.13

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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.