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Finding the Fourth Proportional to 256,289.89, 353,846.34 and 229,385.74

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Solution

The fourth proportional to 256,289.89, 353,846.34 and 229,385.74 is: 316,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,289.89 : 353,846.34 = 229,385.74 : x
  2. Step 2: Convert to fraction form
    256,289.89/353,846.34 = 229,385.74/x
  3. Step 3: Cross multiply
    256,289.89x = 353,846.34 × 229,385.74
  4. Step 4: Simplify right side
    256,289.89x = 81,167,304,547.19
  5. Step 5: Solve for x
    x = 81,167,304,547.19/256,289.89
  6. Step 6: Final answer
    x = 316,701.16

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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.