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Finding the Fourth Proportional to 645,588, 968,537.52 and 202,356

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Solution

The fourth proportional to 645,588, 968,537.52 and 202,356 is: 303,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,588 : 968,537.52 = 202,356 : x
  2. Step 2: Convert to fraction form
    645,588/968,537.52 = 202,356/x
  3. Step 3: Cross multiply
    645,588x = 968,537.52 × 202,356
  4. Step 4: Simplify right side
    645,588x = 195,989,378,397.12
  5. Step 5: Solve for x
    x = 195,989,378,397.12/645,588
  6. Step 6: Final answer
    x = 303,582.75

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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.