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Finding the Fourth Proportional to 652,280.10, 978,420.15 and 279,032.10

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Solution

The fourth proportional to 652,280.10, 978,420.15 and 279,032.10 is: 418,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,280.10 : 978,420.15 = 279,032.10 : x
  2. Step 2: Convert to fraction form
    652,280.10/978,420.15 = 279,032.10/x
  3. Step 3: Cross multiply
    652,280.10x = 978,420.15 × 279,032.10
  4. Step 4: Simplify right side
    652,280.10x = 273,010,629,136.82
  5. Step 5: Solve for x
    x = 273,010,629,136.82/652,280.10
  6. Step 6: Final answer
    x = 418,548.15

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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.