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Finding the Fourth Proportional to 499,440, 749,160.72 and 203,952

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Solution

The fourth proportional to 499,440, 749,160.72 and 203,952 is: 305,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,440 : 749,160.72 = 203,952 : x
  2. Step 2: Convert to fraction form
    499,440/749,160.72 = 203,952/x
  3. Step 3: Cross multiply
    499,440x = 749,160.72 × 203,952
  4. Step 4: Simplify right side
    499,440x = 152,792,827,165.44
  5. Step 5: Solve for x
    x = 152,792,827,165.44/499,440
  6. Step 6: Final answer
    x = 305,928.29

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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.