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Finding the Fourth Proportional to 291,354.98, 402,068.41 and 164,031.48

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Solution

The fourth proportional to 291,354.98, 402,068.41 and 164,031.48 is: 226,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,354.98 : 402,068.41 = 164,031.48 : x
  2. Step 2: Convert to fraction form
    291,354.98/402,068.41 = 164,031.48/x
  3. Step 3: Cross multiply
    291,354.98x = 402,068.41 × 164,031.48
  4. Step 4: Simplify right side
    291,354.98x = 65,951,875,943.47
  5. Step 5: Solve for x
    x = 65,951,875,943.47/291,354.98
  6. Step 6: Final answer
    x = 226,362.62

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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.