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Finding the Fourth Proportional to 412,229.79, 569,155.28 and 257,417.60

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Solution

The fourth proportional to 412,229.79, 569,155.28 and 257,417.60 is: 355,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,229.79 : 569,155.28 = 257,417.60 : x
  2. Step 2: Convert to fraction form
    412,229.79/569,155.28 = 257,417.60/x
  3. Step 3: Cross multiply
    412,229.79x = 569,155.28 × 257,417.60
  4. Step 4: Simplify right side
    412,229.79x = 146,510,582,072.06
  5. Step 5: Solve for x
    x = 146,510,582,072.06/412,229.79
  6. Step 6: Final answer
    x = 355,409.98

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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.