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Finding the Fourth Proportional to 289,657.20, 399,705.12 and 162,308.28

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Solution

The fourth proportional to 289,657.20, 399,705.12 and 162,308.28 is: 223,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,657.20 : 399,705.12 = 162,308.28 : x
  2. Step 2: Convert to fraction form
    289,657.20/399,705.12 = 162,308.28/x
  3. Step 3: Cross multiply
    289,657.20x = 399,705.12 × 162,308.28
  4. Step 4: Simplify right side
    289,657.20x = 64,875,450,534.39
  5. Step 5: Solve for x
    x = 64,875,450,534.39/289,657.20
  6. Step 6: Final answer
    x = 223,973.20

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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.