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Finding the Fourth Proportional to 289,345.12, 399,296.88 and 162,020.32

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Solution

The fourth proportional to 289,345.12, 399,296.88 and 162,020.32 is: 223,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,345.12 : 399,296.88 = 162,020.32 : x
  2. Step 2: Convert to fraction form
    289,345.12/399,296.88 = 162,020.32/x
  3. Step 3: Cross multiply
    289,345.12x = 399,296.88 × 162,020.32
  4. Step 4: Simplify right side
    289,345.12x = 64,694,208,272.60
  5. Step 5: Solve for x
    x = 64,694,208,272.60/289,345.12
  6. Step 6: Final answer
    x = 223,588.39

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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.