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Finding the Fourth Proportional to 518,229.86, 714,776.52 and 343,484.03

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Solution

The fourth proportional to 518,229.86, 714,776.52 and 343,484.03 is: 473,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,229.86 : 714,776.52 = 343,484.03 : x
  2. Step 2: Convert to fraction form
    518,229.86/714,776.52 = 343,484.03/x
  3. Step 3: Cross multiply
    518,229.86x = 714,776.52 × 343,484.03
  4. Step 4: Simplify right side
    518,229.86x = 245,514,316,065.09
  5. Step 5: Solve for x
    x = 245,514,316,065.09/518,229.86
  6. Step 6: Final answer
    x = 473,755.64

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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.