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Finding the Fourth Proportional to 648,209.20, 970,564.20 and 508,241.20

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Solution

The fourth proportional to 648,209.20, 970,564.20 and 508,241.20 is: 760,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,209.20 : 970,564.20 = 508,241.20 : x
  2. Step 2: Convert to fraction form
    648,209.20/970,564.20 = 508,241.20/x
  3. Step 3: Cross multiply
    648,209.20x = 970,564.20 × 508,241.20
  4. Step 4: Simplify right side
    648,209.20x = 493,280,713,685.04
  5. Step 5: Solve for x
    x = 493,280,713,685.04/648,209.20
  6. Step 6: Final answer
    x = 760,989.99

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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.