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Finding the Fourth Proportional to 442,753.64, 610,975.14 and 251,813.48

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Solution

The fourth proportional to 442,753.64, 610,975.14 and 251,813.48 is: 347,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,753.64 : 610,975.14 = 251,813.48 : x
  2. Step 2: Convert to fraction form
    442,753.64/610,975.14 = 251,813.48/x
  3. Step 3: Cross multiply
    442,753.64x = 610,975.14 × 251,813.48
  4. Step 4: Simplify right side
    442,753.64x = 153,851,776,196.89
  5. Step 5: Solve for x
    x = 153,851,776,196.89/442,753.64
  6. Step 6: Final answer
    x = 347,488.45

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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.