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Finding the Fourth Proportional to 421,503.17, 632,700.36 and 411,984.25

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Solution

The fourth proportional to 421,503.17, 632,700.36 and 411,984.25 is: 618,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,503.17 : 632,700.36 = 411,984.25 : x
  2. Step 2: Convert to fraction form
    421,503.17/632,700.36 = 411,984.25/x
  3. Step 3: Cross multiply
    421,503.17x = 632,700.36 × 411,984.25
  4. Step 4: Simplify right side
    421,503.17x = 260,662,583,289.33
  5. Step 5: Solve for x
    x = 260,662,583,289.33/421,503.17
  6. Step 6: Final answer
    x = 618,411.92

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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.