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Finding the Fourth Proportional to 934,136, 1,289,138.40 and 510,200

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Solution

The fourth proportional to 934,136, 1,289,138.40 and 510,200 is: 704,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,136 : 1,289,138.40 = 510,200 : x
  2. Step 2: Convert to fraction form
    934,136/1,289,138.40 = 510,200/x
  3. Step 3: Cross multiply
    934,136x = 1,289,138.40 × 510,200
  4. Step 4: Simplify right side
    934,136x = 657,718,411,680
  5. Step 5: Solve for x
    x = 657,718,411,680/934,136
  6. Step 6: Final answer
    x = 704,092.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.