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Finding the Fourth Proportional to 261,806, 392,709 and 64,814

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Solution

The fourth proportional to 261,806, 392,709 and 64,814 is: 97,221

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,806 : 392,709 = 64,814 : x
  2. Step 2: Convert to fraction form
    261,806/392,709 = 64,814/x
  3. Step 3: Cross multiply
    261,806x = 392,709 × 64,814
  4. Step 4: Simplify right side
    261,806x = 25,453,041,126
  5. Step 5: Solve for x
    x = 25,453,041,126/261,806
  6. Step 6: Final answer
    x = 97,221

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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.