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Finding the Fourth Proportional to 314,980.30, 472,347.60 and 137,366.20

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Solution

The fourth proportional to 314,980.30, 472,347.60 and 137,366.20 is: 205,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,980.30 : 472,347.60 = 137,366.20 : x
  2. Step 2: Convert to fraction form
    314,980.30/472,347.60 = 137,366.20/x
  3. Step 3: Cross multiply
    314,980.30x = 472,347.60 × 137,366.20
  4. Step 4: Simplify right side
    314,980.30x = 64,884,594,891.12
  5. Step 5: Solve for x
    x = 64,884,594,891.12/314,980.30
  6. Step 6: Final answer
    x = 205,995.72

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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.