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Finding the Fourth Proportional to 415,215.70, 569,260.28 and 407,648.68

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Solution

The fourth proportional to 415,215.70, 569,260.28 and 407,648.68 is: 558,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,215.70 : 569,260.28 = 407,648.68 : x
  2. Step 2: Convert to fraction form
    415,215.70/569,260.28 = 407,648.68/x
  3. Step 3: Cross multiply
    415,215.70x = 569,260.28 × 407,648.68
  4. Step 4: Simplify right side
    415,215.70x = 232,058,201,718.43
  5. Step 5: Solve for x
    x = 232,058,201,718.43/415,215.70
  6. Step 6: Final answer
    x = 558,885.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.