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Finding the Fourth Proportional to 289,544.42, 399,587.64 and 162,261.02

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Solution

The fourth proportional to 289,544.42, 399,587.64 and 162,261.02 is: 223,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,544.42 : 399,587.64 = 162,261.02 : x
  2. Step 2: Convert to fraction form
    289,544.42/399,587.64 = 162,261.02/x
  3. Step 3: Cross multiply
    289,544.42x = 399,587.64 × 162,261.02
  4. Step 4: Simplify right side
    289,544.42x = 64,837,498,045.79
  5. Step 5: Solve for x
    x = 64,837,498,045.79/289,544.42
  6. Step 6: Final answer
    x = 223,929.36

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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.