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Finding the Fourth Proportional to 310,140.52, 464,915.22 and 99,630.64

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Solution

The fourth proportional to 310,140.52, 464,915.22 and 99,630.64 is: 149,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,140.52 : 464,915.22 = 99,630.64 : x
  2. Step 2: Convert to fraction form
    310,140.52/464,915.22 = 99,630.64/x
  3. Step 3: Cross multiply
    310,140.52x = 464,915.22 × 99,630.64
  4. Step 4: Simplify right side
    310,140.52x = 46,319,800,914.34
  5. Step 5: Solve for x
    x = 46,319,800,914.34/310,140.52
  6. Step 6: Final answer
    x = 149,351.01

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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.