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Finding the Fourth Proportional to 292,510, 438,765 and 70,894

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Solution

The fourth proportional to 292,510, 438,765 and 70,894 is: 106,341

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,510 : 438,765 = 70,894 : x
  2. Step 2: Convert to fraction form
    292,510/438,765 = 70,894/x
  3. Step 3: Cross multiply
    292,510x = 438,765 × 70,894
  4. Step 4: Simplify right side
    292,510x = 31,105,805,910
  5. Step 5: Solve for x
    x = 31,105,805,910/292,510
  6. Step 6: Final answer
    x = 106,341

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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.