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Finding the Fourth Proportional to 282,683.92, 390,108.36 and 161,824.72

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Solution

The fourth proportional to 282,683.92, 390,108.36 and 161,824.72 is: 223,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,683.92 : 390,108.36 = 161,824.72 : x
  2. Step 2: Convert to fraction form
    282,683.92/390,108.36 = 161,824.72/x
  3. Step 3: Cross multiply
    282,683.92x = 390,108.36 × 161,824.72
  4. Step 4: Simplify right side
    282,683.92x = 63,129,176,126.66
  5. Step 5: Solve for x
    x = 63,129,176,126.66/282,683.92
  6. Step 6: Final answer
    x = 223,320.72

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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.