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Finding the Fourth Proportional to 289,953.79, 400,117 and 160,884.08

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Solution

The fourth proportional to 289,953.79, 400,117 and 160,884.08 is: 222,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,953.79 : 400,117 = 160,884.08 : x
  2. Step 2: Convert to fraction form
    289,953.79/400,117 = 160,884.08/x
  3. Step 3: Cross multiply
    289,953.79x = 400,117 × 160,884.08
  4. Step 4: Simplify right side
    289,953.79x = 64,372,455,437.36
  5. Step 5: Solve for x
    x = 64,372,455,437.36/289,953.79
  6. Step 6: Final answer
    x = 222,009.36

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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.