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Finding the Fourth Proportional to 264,985.20, 397,477.80 and 115,297.20

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Solution

The fourth proportional to 264,985.20, 397,477.80 and 115,297.20 is: 172,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,985.20 : 397,477.80 = 115,297.20 : x
  2. Step 2: Convert to fraction form
    264,985.20/397,477.80 = 115,297.20/x
  3. Step 3: Cross multiply
    264,985.20x = 397,477.80 × 115,297.20
  4. Step 4: Simplify right side
    264,985.20x = 45,828,077,402.16
  5. Step 5: Solve for x
    x = 45,828,077,402.16/264,985.20
  6. Step 6: Final answer
    x = 172,945.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.