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Finding the Fourth Proportional to 308,084.40, 461,926.80 and 130,543.20

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Solution

The fourth proportional to 308,084.40, 461,926.80 and 130,543.20 is: 195,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,084.40 : 461,926.80 = 130,543.20 : x
  2. Step 2: Convert to fraction form
    308,084.40/461,926.80 = 130,543.20/x
  3. Step 3: Cross multiply
    308,084.40x = 461,926.80 × 130,543.20
  4. Step 4: Simplify right side
    308,084.40x = 60,301,402,637.76
  5. Step 5: Solve for x
    x = 60,301,402,637.76/308,084.40
  6. Step 6: Final answer
    x = 195,730.14

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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.