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Finding the Fourth Proportional to 524,854.74, 724,648.20 and 403,782.42

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Solution

The fourth proportional to 524,854.74, 724,648.20 and 403,782.42 is: 557,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,854.74 : 724,648.20 = 403,782.42 : x
  2. Step 2: Convert to fraction form
    524,854.74/724,648.20 = 403,782.42/x
  3. Step 3: Cross multiply
    524,854.74x = 724,648.20 × 403,782.42
  4. Step 4: Simplify right side
    524,854.74x = 292,600,203,844.64
  5. Step 5: Solve for x
    x = 292,600,203,844.64/524,854.74
  6. Step 6: Final answer
    x = 557,487.97

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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.