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Finding the Fourth Proportional to 433,880.25, 650,831.90 and 138,392.25

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Solution

The fourth proportional to 433,880.25, 650,831.90 and 138,392.25 is: 207,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,880.25 : 650,831.90 = 138,392.25 : x
  2. Step 2: Convert to fraction form
    433,880.25/650,831.90 = 138,392.25/x
  3. Step 3: Cross multiply
    433,880.25x = 650,831.90 × 138,392.25
  4. Step 4: Simplify right side
    433,880.25x = 90,070,090,320.81
  5. Step 5: Solve for x
    x = 90,070,090,320.81/433,880.25
  6. Step 6: Final answer
    x = 207,592.05

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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.