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Finding the Fourth Proportional to 651,398.10, 976,866.75 and 309,801.30

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Solution

The fourth proportional to 651,398.10, 976,866.75 and 309,801.30 is: 464,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,398.10 : 976,866.75 = 309,801.30 : x
  2. Step 2: Convert to fraction form
    651,398.10/976,866.75 = 309,801.30/x
  3. Step 3: Cross multiply
    651,398.10x = 976,866.75 × 309,801.30
  4. Step 4: Simplify right side
    651,398.10x = 302,634,589,076.78
  5. Step 5: Solve for x
    x = 302,634,589,076.78/651,398.10
  6. Step 6: Final answer
    x = 464,592.37

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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.