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Finding the Fourth Proportional to 518,820.26, 715,982.88 and 292,465.76

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Solution

The fourth proportional to 518,820.26, 715,982.88 and 292,465.76 is: 403,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,820.26 : 715,982.88 = 292,465.76 : x
  2. Step 2: Convert to fraction form
    518,820.26/715,982.88 = 292,465.76/x
  3. Step 3: Cross multiply
    518,820.26x = 715,982.88 × 292,465.76
  4. Step 4: Simplify right side
    518,820.26x = 209,400,477,146.19
  5. Step 5: Solve for x
    x = 209,400,477,146.19/518,820.26
  6. Step 6: Final answer
    x = 403,608.91

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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.