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Finding the Fourth Proportional to 291,620.52, 402,219 and 258,954.48

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Solution

The fourth proportional to 291,620.52, 402,219 and 258,954.48 is: 357,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,620.52 : 402,219 = 258,954.48 : x
  2. Step 2: Convert to fraction form
    291,620.52/402,219 = 258,954.48/x
  3. Step 3: Cross multiply
    291,620.52x = 402,219 × 258,954.48
  4. Step 4: Simplify right side
    291,620.52x = 104,156,411,991.12
  5. Step 5: Solve for x
    x = 104,156,411,991.12/291,620.52
  6. Step 6: Final answer
    x = 357,164.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.