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Finding the Fourth Proportional to 261,408, 392,112 and 64,416

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Solution

The fourth proportional to 261,408, 392,112 and 64,416 is: 96,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,408 : 392,112 = 64,416 : x
  2. Step 2: Convert to fraction form
    261,408/392,112 = 64,416/x
  3. Step 3: Cross multiply
    261,408x = 392,112 × 64,416
  4. Step 4: Simplify right side
    261,408x = 25,258,286,592
  5. Step 5: Solve for x
    x = 25,258,286,592/261,408
  6. Step 6: Final answer
    x = 96,624

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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.