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Finding the Fourth Proportional to 457,223.64, 630,968.54 and 253,287.76

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Solution

The fourth proportional to 457,223.64, 630,968.54 and 253,287.76 is: 349,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,223.64 : 630,968.54 = 253,287.76 : x
  2. Step 2: Convert to fraction form
    457,223.64/630,968.54 = 253,287.76/x
  3. Step 3: Cross multiply
    457,223.64x = 630,968.54 × 253,287.76
  4. Step 4: Simplify right side
    457,223.64x = 159,816,606,466.28
  5. Step 5: Solve for x
    x = 159,816,606,466.28/457,223.64
  6. Step 6: Final answer
    x = 349,537.06

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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.