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Finding the Fourth Proportional to 651,405.20, 976,978.20 and 314,445.20

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Solution

The fourth proportional to 651,405.20, 976,978.20 and 314,445.20 is: 471,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,405.20 : 976,978.20 = 314,445.20 : x
  2. Step 2: Convert to fraction form
    651,405.20/976,978.20 = 314,445.20/x
  3. Step 3: Cross multiply
    651,405.20x = 976,978.20 × 314,445.20
  4. Step 4: Simplify right side
    651,405.20x = 307,206,105,494.64
  5. Step 5: Solve for x
    x = 307,206,105,494.64/651,405.20
  6. Step 6: Final answer
    x = 471,605.24

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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.