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Finding the Fourth Proportional to 463,386.32, 639,324.42 and 259,407.20

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Solution

The fourth proportional to 463,386.32, 639,324.42 and 259,407.20 is: 357,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,386.32 : 639,324.42 = 259,407.20 : x
  2. Step 2: Convert to fraction form
    463,386.32/639,324.42 = 259,407.20/x
  3. Step 3: Cross multiply
    463,386.32x = 639,324.42 × 259,407.20
  4. Step 4: Simplify right side
    463,386.32x = 165,845,357,683.82
  5. Step 5: Solve for x
    x = 165,845,357,683.82/463,386.32
  6. Step 6: Final answer
    x = 357,898.69

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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.