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Finding the Fourth Proportional to 207,428.20, 310,364.70 and 137,444.20

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Solution

The fourth proportional to 207,428.20, 310,364.70 and 137,444.20 is: 205,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,428.20 : 310,364.70 = 137,444.20 : x
  2. Step 2: Convert to fraction form
    207,428.20/310,364.70 = 137,444.20/x
  3. Step 3: Cross multiply
    207,428.20x = 310,364.70 × 137,444.20
  4. Step 4: Simplify right side
    207,428.20x = 42,657,827,899.74
  5. Step 5: Solve for x
    x = 42,657,827,899.74/207,428.20
  6. Step 6: Final answer
    x = 205,651.05

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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.