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Finding the Fourth Proportional to 282,975.92, 390,239.80 and 186,008.48

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Solution

The fourth proportional to 282,975.92, 390,239.80 and 186,008.48 is: 256,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,975.92 : 390,239.80 = 186,008.48 : x
  2. Step 2: Convert to fraction form
    282,975.92/390,239.80 = 186,008.48/x
  3. Step 3: Cross multiply
    282,975.92x = 390,239.80 × 186,008.48
  4. Step 4: Simplify right side
    282,975.92x = 72,587,912,033.50
  5. Step 5: Solve for x
    x = 72,587,912,033.50/282,975.92
  6. Step 6: Final answer
    x = 256,516.22

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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.