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Finding the Fourth Proportional to 645,580, 968,525.52 and 202,348

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Solution

The fourth proportional to 645,580, 968,525.52 and 202,348 is: 303,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,580 : 968,525.52 = 202,348 : x
  2. Step 2: Convert to fraction form
    645,580/968,525.52 = 202,348/x
  3. Step 3: Cross multiply
    645,580x = 968,525.52 × 202,348
  4. Step 4: Simplify right side
    645,580x = 195,979,201,920.96
  5. Step 5: Solve for x
    x = 195,979,201,920.96/645,580
  6. Step 6: Final answer
    x = 303,570.75

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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.