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Finding the Fourth Proportional to 907,857, 1,361,785.50 and 243,009

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Solution

The fourth proportional to 907,857, 1,361,785.50 and 243,009 is: 364,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,857 : 1,361,785.50 = 243,009 : x
  2. Step 2: Convert to fraction form
    907,857/1,361,785.50 = 243,009/x
  3. Step 3: Cross multiply
    907,857x = 1,361,785.50 × 243,009
  4. Step 4: Simplify right side
    907,857x = 330,926,132,569.50
  5. Step 5: Solve for x
    x = 330,926,132,569.50/907,857
  6. Step 6: Final answer
    x = 364,513.50

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Similar ratio
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1.5x scale

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.