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Finding the Fourth Proportional to 409,513.87, 565,129.58 and 228,221.69

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Solution

The fourth proportional to 409,513.87, 565,129.58 and 228,221.69 is: 314,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,513.87 : 565,129.58 = 228,221.69 : x
  2. Step 2: Convert to fraction form
    409,513.87/565,129.58 = 228,221.69/x
  3. Step 3: Cross multiply
    409,513.87x = 565,129.58 × 228,221.69
  4. Step 4: Simplify right side
    409,513.87x = 128,974,829,799.97
  5. Step 5: Solve for x
    x = 128,974,829,799.97/409,513.87
  6. Step 6: Final answer
    x = 314,946.18

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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.