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Finding the Fourth Proportional to 388,658.16, 536,482.62 and 227,565

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Solution

The fourth proportional to 388,658.16, 536,482.62 and 227,565 is: 314,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,658.16 : 536,482.62 = 227,565 : x
  2. Step 2: Convert to fraction form
    388,658.16/536,482.62 = 227,565/x
  3. Step 3: Cross multiply
    388,658.16x = 536,482.62 × 227,565
  4. Step 4: Simplify right side
    388,658.16x = 122,084,667,420.30
  5. Step 5: Solve for x
    x = 122,084,667,420.30/388,658.16
  6. Step 6: Final answer
    x = 314,118.37

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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.