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Finding the Fourth Proportional to 501,102.14, 750,650.76 and 301,312.40

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Solution

The fourth proportional to 501,102.14, 750,650.76 and 301,312.40 is: 451,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,102.14 : 750,650.76 = 301,312.40 : x
  2. Step 2: Convert to fraction form
    501,102.14/750,650.76 = 301,312.40/x
  3. Step 3: Cross multiply
    501,102.14x = 750,650.76 × 301,312.40
  4. Step 4: Simplify right side
    501,102.14x = 226,180,382,057.42
  5. Step 5: Solve for x
    x = 226,180,382,057.42/501,102.14
  6. Step 6: Final answer
    x = 451,365.83

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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.