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Finding the Fourth Proportional to 261,492.40, 392,044.20 and 143,297.20

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Solution

The fourth proportional to 261,492.40, 392,044.20 and 143,297.20 is: 214,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,492.40 : 392,044.20 = 143,297.20 : x
  2. Step 2: Convert to fraction form
    261,492.40/392,044.20 = 143,297.20/x
  3. Step 3: Cross multiply
    261,492.40x = 392,044.20 × 143,297.20
  4. Step 4: Simplify right side
    261,492.40x = 56,178,836,136.24
  5. Step 5: Solve for x
    x = 56,178,836,136.24/261,492.40
  6. Step 6: Final answer
    x = 214,839.27

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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.