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Finding the Fourth Proportional to 640,775.64, 961,163.52 and 241,506

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Solution

The fourth proportional to 640,775.64, 961,163.52 and 241,506 is: 362,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,775.64 : 961,163.52 = 241,506 : x
  2. Step 2: Convert to fraction form
    640,775.64/961,163.52 = 241,506/x
  3. Step 3: Cross multiply
    640,775.64x = 961,163.52 × 241,506
  4. Step 4: Simplify right side
    640,775.64x = 232,126,757,061.12
  5. Step 5: Solve for x
    x = 232,126,757,061.12/640,775.64
  6. Step 6: Final answer
    x = 362,259.02

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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.