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Finding the Fourth Proportional to 301,861, 452,807 and 77,223.38

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Solution

The fourth proportional to 301,861, 452,807 and 77,223.38 is: 115,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,861 : 452,807 = 77,223.38 : x
  2. Step 2: Convert to fraction form
    301,861/452,807 = 77,223.38/x
  3. Step 3: Cross multiply
    301,861x = 452,807 × 77,223.38
  4. Step 4: Simplify right side
    301,861x = 34,967,287,027.66
  5. Step 5: Solve for x
    x = 34,967,287,027.66/301,861
  6. Step 6: Final answer
    x = 115,839.04

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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.