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Finding the Fourth Proportional to 229,353, 316,507.32 and 128,783.40

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Solution

The fourth proportional to 229,353, 316,507.32 and 128,783.40 is: 177,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,353 : 316,507.32 = 128,783.40 : x
  2. Step 2: Convert to fraction form
    229,353/316,507.32 = 128,783.40/x
  3. Step 3: Cross multiply
    229,353x = 316,507.32 × 128,783.40
  4. Step 4: Simplify right side
    229,353x = 40,760,888,794.49
  5. Step 5: Solve for x
    x = 40,760,888,794.49/229,353
  6. Step 6: Final answer
    x = 177,721.19

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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.