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Finding the Fourth Proportional to 413,077.28, 570,410.15 and 258,293.84

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Solution

The fourth proportional to 413,077.28, 570,410.15 and 258,293.84 is: 356,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,077.28 : 570,410.15 = 258,293.84 : x
  2. Step 2: Convert to fraction form
    413,077.28/570,410.15 = 258,293.84/x
  3. Step 3: Cross multiply
    413,077.28x = 570,410.15 × 258,293.84
  4. Step 4: Simplify right side
    413,077.28x = 147,333,423,874.96
  5. Step 5: Solve for x
    x = 147,333,423,874.96/413,077.28
  6. Step 6: Final answer
    x = 356,672.79

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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.