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Finding the Fourth Proportional to 229,315.47, 316,465.88 and 127,341.32

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Solution

The fourth proportional to 229,315.47, 316,465.88 and 127,341.32 is: 175,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,315.47 : 316,465.88 = 127,341.32 : x
  2. Step 2: Convert to fraction form
    229,315.47/316,465.88 = 127,341.32/x
  3. Step 3: Cross multiply
    229,315.47x = 316,465.88 × 127,341.32
  4. Step 4: Simplify right side
    229,315.47x = 40,299,182,894.16
  5. Step 5: Solve for x
    x = 40,299,182,894.16/229,315.47
  6. Step 6: Final answer
    x = 175,736.87

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