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Finding the Fourth Proportional to 282,674.64, 390,086.52 and 155,347.52

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Solution

The fourth proportional to 282,674.64, 390,086.52 and 155,347.52 is: 214,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,674.64 : 390,086.52 = 155,347.52 : x
  2. Step 2: Convert to fraction form
    282,674.64/390,086.52 = 155,347.52/x
  3. Step 3: Cross multiply
    282,674.64x = 390,086.52 × 155,347.52
  4. Step 4: Simplify right side
    282,674.64x = 60,598,973,467.43
  5. Step 5: Solve for x
    x = 60,598,973,467.43/282,674.64
  6. Step 6: Final answer
    x = 214,377.11

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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.