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Finding the Fourth Proportional to 229,506, 316,718.40 and 128,904

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Solution

The fourth proportional to 229,506, 316,718.40 and 128,904 is: 177,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,506 : 316,718.40 = 128,904 : x
  2. Step 2: Convert to fraction form
    229,506/316,718.40 = 128,904/x
  3. Step 3: Cross multiply
    229,506x = 316,718.40 × 128,904
  4. Step 4: Simplify right side
    229,506x = 40,826,268,633.60
  5. Step 5: Solve for x
    x = 40,826,268,633.60/229,506
  6. Step 6: Final answer
    x = 177,887.59

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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.