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Finding the Fourth Proportional to 412,308.63, 569,263.14 and 257,495.76

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Solution

The fourth proportional to 412,308.63, 569,263.14 and 257,495.76 is: 355,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,308.63 : 569,263.14 = 257,495.76 : x
  2. Step 2: Convert to fraction form
    412,308.63/569,263.14 = 257,495.76/x
  3. Step 3: Cross multiply
    412,308.63x = 569,263.14 × 257,495.76
  4. Step 4: Simplify right side
    412,308.63x = 146,582,844,874.29
  5. Step 5: Solve for x
    x = 146,582,844,874.29/412,308.63
  6. Step 6: Final answer
    x = 355,517.29

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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.