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Finding the Fourth Proportional to 274,428.90, 411,643.35 and 97,136.10

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Solution

The fourth proportional to 274,428.90, 411,643.35 and 97,136.10 is: 145,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,428.90 : 411,643.35 = 97,136.10 : x
  2. Step 2: Convert to fraction form
    274,428.90/411,643.35 = 97,136.10/x
  3. Step 3: Cross multiply
    274,428.90x = 411,643.35 × 97,136.10
  4. Step 4: Simplify right side
    274,428.90x = 39,985,429,609.94
  5. Step 5: Solve for x
    x = 39,985,429,609.94/274,428.90
  6. Step 6: Final answer
    x = 145,704.15

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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.