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Finding the Fourth Proportional to 352,643.10, 528,089.85 and 282,659.10

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Solution

The fourth proportional to 352,643.10, 528,089.85 and 282,659.10 is: 423,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,643.10 : 528,089.85 = 282,659.10 : x
  2. Step 2: Convert to fraction form
    352,643.10/528,089.85 = 282,659.10/x
  3. Step 3: Cross multiply
    352,643.10x = 528,089.85 × 282,659.10
  4. Step 4: Simplify right side
    352,643.10x = 149,269,401,720.14
  5. Step 5: Solve for x
    x = 149,269,401,720.14/352,643.10
  6. Step 6: Final answer
    x = 423,287.46

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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.