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Finding the Fourth Proportional to 407,086.84, 610,199.02 and 136,957.74

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Solution

The fourth proportional to 407,086.84, 610,199.02 and 136,957.74 is: 205,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,086.84 : 610,199.02 = 136,957.74 : x
  2. Step 2: Convert to fraction form
    407,086.84/610,199.02 = 136,957.74/x
  3. Step 3: Cross multiply
    407,086.84x = 610,199.02 × 136,957.74
  4. Step 4: Simplify right side
    407,086.84x = 83,571,478,729.41
  5. Step 5: Solve for x
    x = 83,571,478,729.41/407,086.84
  6. Step 6: Final answer
    x = 205,291.53

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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.