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Finding the Fourth Proportional to 343,397.20, 513,637.80 and 308,113.60

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Solution

The fourth proportional to 343,397.20, 513,637.80 and 308,113.60 is: 460,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,397.20 : 513,637.80 = 308,113.60 : x
  2. Step 2: Convert to fraction form
    343,397.20/513,637.80 = 308,113.60/x
  3. Step 3: Cross multiply
    343,397.20x = 513,637.80 × 308,113.60
  4. Step 4: Simplify right side
    343,397.20x = 158,258,791,654.08
  5. Step 5: Solve for x
    x = 158,258,791,654.08/343,397.20
  6. Step 6: Final answer
    x = 460,862.21

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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.