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Finding the Fourth Proportional to 507,909.68, 700,923.27 and 278,487.91

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Solution

The fourth proportional to 507,909.68, 700,923.27 and 278,487.91 is: 384,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,909.68 : 700,923.27 = 278,487.91 : x
  2. Step 2: Convert to fraction form
    507,909.68/700,923.27 = 278,487.91/x
  3. Step 3: Cross multiply
    507,909.68x = 700,923.27 × 278,487.91
  4. Step 4: Simplify right side
    507,909.68x = 195,198,656,532.67
  5. Step 5: Solve for x
    x = 195,198,656,532.67/507,909.68
  6. Step 6: Final answer
    x = 384,317.65

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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.