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Finding the Fourth Proportional to 456,839.90, 630,431.43 and 252,886.51

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Solution

The fourth proportional to 456,839.90, 630,431.43 and 252,886.51 is: 348,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,839.90 : 630,431.43 = 252,886.51 : x
  2. Step 2: Convert to fraction form
    456,839.90/630,431.43 = 252,886.51/x
  3. Step 3: Cross multiply
    456,839.90x = 630,431.43 × 252,886.51
  4. Step 4: Simplify right side
    456,839.90x = 159,427,604,127.01
  5. Step 5: Solve for x
    x = 159,427,604,127.01/456,839.90
  6. Step 6: Final answer
    x = 348,979.16

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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.