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Finding the Fourth Proportional to 261,412, 392,118 and 64,420

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Solution

The fourth proportional to 261,412, 392,118 and 64,420 is: 96,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,412 : 392,118 = 64,420 : x
  2. Step 2: Convert to fraction form
    261,412/392,118 = 64,420/x
  3. Step 3: Cross multiply
    261,412x = 392,118 × 64,420
  4. Step 4: Simplify right side
    261,412x = 25,260,241,560
  5. Step 5: Solve for x
    x = 25,260,241,560/261,412
  6. Step 6: Final answer
    x = 96,630

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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.