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Finding the Fourth Proportional to 282,774.92, 390,236.85 and 153,722.07

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Solution

The fourth proportional to 282,774.92, 390,236.85 and 153,722.07 is: 212,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,774.92 : 390,236.85 = 153,722.07 : x
  2. Step 2: Convert to fraction form
    282,774.92/390,236.85 = 153,722.07/x
  3. Step 3: Cross multiply
    282,774.92x = 390,236.85 × 153,722.07
  4. Step 4: Simplify right side
    282,774.92x = 59,988,016,372.28
  5. Step 5: Solve for x
    x = 59,988,016,372.28/282,774.92
  6. Step 6: Final answer
    x = 212,140.52

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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.