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Finding the Fourth Proportional to 292,528, 438,792 and 70,912

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Solution

The fourth proportional to 292,528, 438,792 and 70,912 is: 106,368

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,528 : 438,792 = 70,912 : x
  2. Step 2: Convert to fraction form
    292,528/438,792 = 70,912/x
  3. Step 3: Cross multiply
    292,528x = 438,792 × 70,912
  4. Step 4: Simplify right side
    292,528x = 31,115,618,304
  5. Step 5: Solve for x
    x = 31,115,618,304/292,528
  6. Step 6: Final answer
    x = 106,368

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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.