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Finding the Fourth Proportional to 253,136.52, 378,254.04 and 192,830.40

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Solution

The fourth proportional to 253,136.52, 378,254.04 and 192,830.40 is: 288,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,136.52 : 378,254.04 = 192,830.40 : x
  2. Step 2: Convert to fraction form
    253,136.52/378,254.04 = 192,830.40/x
  3. Step 3: Cross multiply
    253,136.52x = 378,254.04 × 192,830.40
  4. Step 4: Simplify right side
    253,136.52x = 72,938,877,834.82
  5. Step 5: Solve for x
    x = 72,938,877,834.82/253,136.52
  6. Step 6: Final answer
    x = 288,140.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.