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Finding the Fourth Proportional to 291,509.52, 402,272.64 and 164,196.96

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Solution

The fourth proportional to 291,509.52, 402,272.64 and 164,196.96 is: 226,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,509.52 : 402,272.64 = 164,196.96 : x
  2. Step 2: Convert to fraction form
    291,509.52/402,272.64 = 164,196.96/x
  3. Step 3: Cross multiply
    291,509.52x = 402,272.64 × 164,196.96
  4. Step 4: Simplify right side
    291,509.52x = 66,051,944,579.17
  5. Step 5: Solve for x
    x = 66,051,944,579.17/291,509.52
  6. Step 6: Final answer
    x = 226,585.89

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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.