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Finding the Fourth Proportional to 640,769.64, 961,154.52 and 241,500

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Solution

The fourth proportional to 640,769.64, 961,154.52 and 241,500 is: 362,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,769.64 : 961,154.52 = 241,500 : x
  2. Step 2: Convert to fraction form
    640,769.64/961,154.52 = 241,500/x
  3. Step 3: Cross multiply
    640,769.64x = 961,154.52 × 241,500
  4. Step 4: Simplify right side
    640,769.64x = 232,118,816,580
  5. Step 5: Solve for x
    x = 232,118,816,580/640,769.64
  6. Step 6: Final answer
    x = 362,250.02

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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.