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Finding the Fourth Proportional to 458,521, 632,817.32 and 257,317

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Solution

The fourth proportional to 458,521, 632,817.32 and 257,317 is: 355,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,521 : 632,817.32 = 257,317 : x
  2. Step 2: Convert to fraction form
    458,521/632,817.32 = 257,317/x
  3. Step 3: Cross multiply
    458,521x = 632,817.32 × 257,317
  4. Step 4: Simplify right side
    458,521x = 162,834,654,330.44
  5. Step 5: Solve for x
    x = 162,834,654,330.44/458,521
  6. Step 6: Final answer
    x = 355,130.20

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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.