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Finding the Fourth Proportional to 282,647.84, 390,205.68 and 217,975.64

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Solution

The fourth proportional to 282,647.84, 390,205.68 and 217,975.64 is: 300,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,647.84 : 390,205.68 = 217,975.64 : x
  2. Step 2: Convert to fraction form
    282,647.84/390,205.68 = 217,975.64/x
  3. Step 3: Cross multiply
    282,647.84x = 390,205.68 × 217,975.64
  4. Step 4: Simplify right side
    282,647.84x = 85,055,332,829.64
  5. Step 5: Solve for x
    x = 85,055,332,829.64/282,647.84
  6. Step 6: Final answer
    x = 300,923.34

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1.5x scale

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.