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Finding the Fourth Proportional to 208,507.47, 310,078.83 and 201,864.45

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Solution

The fourth proportional to 208,507.47, 310,078.83 and 201,864.45 is: 300,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,507.47 : 310,078.83 = 201,864.45 : x
  2. Step 2: Convert to fraction form
    208,507.47/310,078.83 = 201,864.45/x
  3. Step 3: Cross multiply
    208,507.47x = 310,078.83 × 201,864.45
  4. Step 4: Simplify right side
    208,507.47x = 62,593,894,394.38
  5. Step 5: Solve for x
    x = 62,593,894,394.38/208,507.47
  6. Step 6: Final answer
    x = 300,199.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.