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Finding the Fourth Proportional to 309,825.60, 464,803.20 and 99,484.80

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Solution

The fourth proportional to 309,825.60, 464,803.20 and 99,484.80 is: 149,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,825.60 : 464,803.20 = 99,484.80 : x
  2. Step 2: Convert to fraction form
    309,825.60/464,803.20 = 99,484.80/x
  3. Step 3: Cross multiply
    309,825.60x = 464,803.20 × 99,484.80
  4. Step 4: Simplify right side
    309,825.60x = 46,240,853,391.36
  5. Step 5: Solve for x
    x = 46,240,853,391.36/309,825.60
  6. Step 6: Final answer
    x = 149,248.01

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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.