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Finding the Fourth Proportional to 282,805.50, 390,355.72 and 162,027.21

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Solution

The fourth proportional to 282,805.50, 390,355.72 and 162,027.21 is: 223,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,805.50 : 390,355.72 = 162,027.21 : x
  2. Step 2: Convert to fraction form
    282,805.50/390,355.72 = 162,027.21/x
  3. Step 3: Cross multiply
    282,805.50x = 390,355.72 × 162,027.21
  4. Step 4: Simplify right side
    282,805.50x = 63,248,246,267.36
  5. Step 5: Solve for x
    x = 63,248,246,267.36/282,805.50
  6. Step 6: Final answer
    x = 223,645.75

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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.