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Finding the Fourth Proportional to 518,820.50, 715,983.24 and 292,466

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Solution

The fourth proportional to 518,820.50, 715,983.24 and 292,466 is: 403,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,820.50 : 715,983.24 = 292,466 : x
  2. Step 2: Convert to fraction form
    518,820.50/715,983.24 = 292,466/x
  3. Step 3: Cross multiply
    518,820.50x = 715,983.24 × 292,466
  4. Step 4: Simplify right side
    518,820.50x = 209,400,754,269.84
  5. Step 5: Solve for x
    x = 209,400,754,269.84/518,820.50
  6. Step 6: Final answer
    x = 403,609.25

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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.