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Finding the Fourth Proportional to 632,143.50, 872,358.03 and 363,871.50

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Solution

The fourth proportional to 632,143.50, 872,358.03 and 363,871.50 is: 502,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,143.50 : 872,358.03 = 363,871.50 : x
  2. Step 2: Convert to fraction form
    632,143.50/872,358.03 = 363,871.50/x
  3. Step 3: Cross multiply
    632,143.50x = 872,358.03 × 363,871.50
  4. Step 4: Simplify right side
    632,143.50x = 317,426,224,913.15
  5. Step 5: Solve for x
    x = 317,426,224,913.15/632,143.50
  6. Step 6: Final answer
    x = 502,142.67

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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.