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Finding the Fourth Proportional to 476,442.47, 714,643.20 and 121,445.90

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Solution

The fourth proportional to 476,442.47, 714,643.20 and 121,445.90 is: 182,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,442.47 : 714,643.20 = 121,445.90 : x
  2. Step 2: Convert to fraction form
    476,442.47/714,643.20 = 121,445.90/x
  3. Step 3: Cross multiply
    476,442.47x = 714,643.20 × 121,445.90
  4. Step 4: Simplify right side
    476,442.47x = 86,790,483,029.66
  5. Step 5: Solve for x
    x = 86,790,483,029.66/476,442.47
  6. Step 6: Final answer
    x = 182,163.62

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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.