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Finding the Fourth Proportional to 229,554, 316,784.52 and 128,952

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Solution

The fourth proportional to 229,554, 316,784.52 and 128,952 is: 177,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,554 : 316,784.52 = 128,952 : x
  2. Step 2: Convert to fraction form
    229,554/316,784.52 = 128,952/x
  3. Step 3: Cross multiply
    229,554x = 316,784.52 × 128,952
  4. Step 4: Simplify right side
    229,554x = 40,849,997,423.04
  5. Step 5: Solve for x
    x = 40,849,997,423.04/229,554
  6. Step 6: Final answer
    x = 177,953.76

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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.