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Finding the Fourth Proportional to 230,528, 345,792 and 74,880

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Solution

The fourth proportional to 230,528, 345,792 and 74,880 is: 112,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,528 : 345,792 = 74,880 : x
  2. Step 2: Convert to fraction form
    230,528/345,792 = 74,880/x
  3. Step 3: Cross multiply
    230,528x = 345,792 × 74,880
  4. Step 4: Simplify right side
    230,528x = 25,892,904,960
  5. Step 5: Solve for x
    x = 25,892,904,960/230,528
  6. Step 6: Final answer
    x = 112,320

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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.