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Finding the Fourth Proportional to 343,833.60, 515,750.40 and 307,675.20

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Solution

The fourth proportional to 343,833.60, 515,750.40 and 307,675.20 is: 461,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,833.60 : 515,750.40 = 307,675.20 : x
  2. Step 2: Convert to fraction form
    343,833.60/515,750.40 = 307,675.20/x
  3. Step 3: Cross multiply
    343,833.60x = 515,750.40 × 307,675.20
  4. Step 4: Simplify right side
    343,833.60x = 158,683,607,470.08
  5. Step 5: Solve for x
    x = 158,683,607,470.08/343,833.60
  6. Step 6: Final answer
    x = 461,512.80

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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.