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Finding the Fourth Proportional to 1,309,978.90, 1,964,968.16 and 363,349.62

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Solution

The fourth proportional to 1,309,978.90, 1,964,968.16 and 363,349.62 is: 545,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,978.90 : 1,964,968.16 = 363,349.62 : x
  2. Step 2: Convert to fraction form
    1,309,978.90/1,964,968.16 = 363,349.62/x
  3. Step 3: Cross multiply
    1,309,978.90x = 1,964,968.16 × 363,349.62
  4. Step 4: Simplify right side
    1,309,978.90x = 713,970,434,248.10
  5. Step 5: Solve for x
    x = 713,970,434,248.10/1,309,978.90
  6. Step 6: Final answer
    x = 545,024.38

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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.