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Finding the Fourth Proportional to 507,948.20, 700,930.42 and 278,468.84

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Solution

The fourth proportional to 507,948.20, 700,930.42 and 278,468.84 is: 384,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,948.20 : 700,930.42 = 278,468.84 : x
  2. Step 2: Convert to fraction form
    507,948.20/700,930.42 = 278,468.84/x
  3. Step 3: Cross multiply
    507,948.20x = 700,930.42 × 278,468.84
  4. Step 4: Simplify right side
    507,948.20x = 195,187,280,978.11
  5. Step 5: Solve for x
    x = 195,187,280,978.11/507,948.20
  6. Step 6: Final answer
    x = 384,266.11

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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.