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Finding the Fourth Proportional to 282,732.93, 390,171.74 and 155,405.79

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Solution

The fourth proportional to 282,732.93, 390,171.74 and 155,405.79 is: 214,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,732.93 : 390,171.74 = 155,405.79 : x
  2. Step 2: Convert to fraction form
    282,732.93/390,171.74 = 155,405.79/x
  3. Step 3: Cross multiply
    282,732.93x = 390,171.74 × 155,405.79
  4. Step 4: Simplify right side
    282,732.93x = 60,634,946,713.35
  5. Step 5: Solve for x
    x = 60,634,946,713.35/282,732.93
  6. Step 6: Final answer
    x = 214,460.15

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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.