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Finding the Fourth Proportional to 501,448.78, 751,779.35 and 343,197.46

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Solution

The fourth proportional to 501,448.78, 751,779.35 and 343,197.46 is: 514,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,448.78 : 751,779.35 = 343,197.46 : x
  2. Step 2: Convert to fraction form
    501,448.78/751,779.35 = 343,197.46/x
  3. Step 3: Cross multiply
    501,448.78x = 751,779.35 × 343,197.46
  4. Step 4: Simplify right side
    501,448.78x = 258,008,763,400.45
  5. Step 5: Solve for x
    x = 258,008,763,400.45/501,448.78
  6. Step 6: Final answer
    x = 514,526.65

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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.