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Finding the Fourth Proportional to 306,055.60, 458,864.70 and 137,437.90

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Solution

The fourth proportional to 306,055.60, 458,864.70 and 137,437.90 is: 206,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,055.60 : 458,864.70 = 137,437.90 : x
  2. Step 2: Convert to fraction form
    306,055.60/458,864.70 = 137,437.90/x
  3. Step 3: Cross multiply
    306,055.60x = 458,864.70 × 137,437.90
  4. Step 4: Simplify right side
    306,055.60x = 63,065,400,752.13
  5. Step 5: Solve for x
    x = 63,065,400,752.13/306,055.60
  6. Step 6: Final answer
    x = 206,058.64

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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.