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Finding the Fourth Proportional to 387,541.02, 534,855.78 and 217,775.01

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Solution

The fourth proportional to 387,541.02, 534,855.78 and 217,775.01 is: 300,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,541.02 : 534,855.78 = 217,775.01 : x
  2. Step 2: Convert to fraction form
    387,541.02/534,855.78 = 217,775.01/x
  3. Step 3: Cross multiply
    387,541.02x = 534,855.78 × 217,775.01
  4. Step 4: Simplify right side
    387,541.02x = 116,478,222,838.06
  5. Step 5: Solve for x
    x = 116,478,222,838.06/387,541.02
  6. Step 6: Final answer
    x = 300,557.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.