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Finding the Fourth Proportional to 261,580.84, 392,327.34 and 74,547.88

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Solution

The fourth proportional to 261,580.84, 392,327.34 and 74,547.88 is: 111,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,580.84 : 392,327.34 = 74,547.88 : x
  2. Step 2: Convert to fraction form
    261,580.84/392,327.34 = 74,547.88/x
  3. Step 3: Cross multiply
    261,580.84x = 392,327.34 × 74,547.88
  4. Step 4: Simplify right side
    261,580.84x = 29,247,171,463.04
  5. Step 5: Solve for x
    x = 29,247,171,463.04/261,580.84
  6. Step 6: Final answer
    x = 111,809.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.