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Finding the Fourth Proportional to 343,701.60, 515,552.40 and 307,543.20

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Solution

The fourth proportional to 343,701.60, 515,552.40 and 307,543.20 is: 461,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,701.60 : 515,552.40 = 307,543.20 : x
  2. Step 2: Convert to fraction form
    343,701.60/515,552.40 = 307,543.20/x
  3. Step 3: Cross multiply
    343,701.60x = 515,552.40 × 307,543.20
  4. Step 4: Simplify right side
    343,701.60x = 158,554,634,863.68
  5. Step 5: Solve for x
    x = 158,554,634,863.68/343,701.60
  6. Step 6: Final answer
    x = 461,314.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.