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Finding the Fourth Proportional to 412,239.60, 569,168.16 and 257,426.76

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Solution

The fourth proportional to 412,239.60, 569,168.16 and 257,426.76 is: 355,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,239.60 : 569,168.16 = 257,426.76 : x
  2. Step 2: Convert to fraction form
    412,239.60/569,168.16 = 257,426.76/x
  3. Step 3: Cross multiply
    412,239.60x = 569,168.16 × 257,426.76
  4. Step 4: Simplify right side
    412,239.60x = 146,519,115,323.96
  5. Step 5: Solve for x
    x = 146,519,115,323.96/412,239.60
  6. Step 6: Final answer
    x = 355,422.22

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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.