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Finding the Fourth Proportional to 261,364, 392,046 and 113,620

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Solution

The fourth proportional to 261,364, 392,046 and 113,620 is: 170,430

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,364 : 392,046 = 113,620 : x
  2. Step 2: Convert to fraction form
    261,364/392,046 = 113,620/x
  3. Step 3: Cross multiply
    261,364x = 392,046 × 113,620
  4. Step 4: Simplify right side
    261,364x = 44,544,266,520
  5. Step 5: Solve for x
    x = 44,544,266,520/261,364
  6. Step 6: Final answer
    x = 170,430

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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.