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Finding the Fourth Proportional to 261,416, 392,124 and 64,424

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Solution

The fourth proportional to 261,416, 392,124 and 64,424 is: 96,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,416 : 392,124 = 64,424 : x
  2. Step 2: Convert to fraction form
    261,416/392,124 = 64,424/x
  3. Step 3: Cross multiply
    261,416x = 392,124 × 64,424
  4. Step 4: Simplify right side
    261,416x = 25,262,196,576
  5. Step 5: Solve for x
    x = 25,262,196,576/261,416
  6. Step 6: Final answer
    x = 96,636

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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.