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Finding the Fourth Proportional to 229,417.82, 316,647.20 and 127,478.31

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Solution

The fourth proportional to 229,417.82, 316,647.20 and 127,478.31 is: 175,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,417.82 : 316,647.20 = 127,478.31 : x
  2. Step 2: Convert to fraction form
    229,417.82/316,647.20 = 127,478.31/x
  3. Step 3: Cross multiply
    229,417.82x = 316,647.20 × 127,478.31
  4. Step 4: Simplify right side
    229,417.82x = 40,365,649,284.84
  5. Step 5: Solve for x
    x = 40,365,649,284.84/229,417.82
  6. Step 6: Final answer
    x = 175,948.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.