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Finding the Fourth Proportional to 343,915.40, 515,873.10 and 308,923.40

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Solution

The fourth proportional to 343,915.40, 515,873.10 and 308,923.40 is: 463,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,915.40 : 515,873.10 = 308,923.40 : x
  2. Step 2: Convert to fraction form
    343,915.40/515,873.10 = 308,923.40/x
  3. Step 3: Cross multiply
    343,915.40x = 515,873.10 × 308,923.40
  4. Step 4: Simplify right side
    343,915.40x = 159,365,272,020.54
  5. Step 5: Solve for x
    x = 159,365,272,020.54/343,915.40
  6. Step 6: Final answer
    x = 463,385.10

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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.