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Finding the Fourth Proportional to 645,601, 968,557.02 and 202,369

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Solution

The fourth proportional to 645,601, 968,557.02 and 202,369 is: 303,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,601 : 968,557.02 = 202,369 : x
  2. Step 2: Convert to fraction form
    645,601/968,557.02 = 202,369/x
  3. Step 3: Cross multiply
    645,601x = 968,557.02 × 202,369
  4. Step 4: Simplify right side
    645,601x = 196,005,915,580.38
  5. Step 5: Solve for x
    x = 196,005,915,580.38/645,601
  6. Step 6: Final answer
    x = 303,602.25

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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.