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Finding the Fourth Proportional to 258,466.80, 387,239.40 and 211,465.20

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Solution

The fourth proportional to 258,466.80, 387,239.40 and 211,465.20 is: 316,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,466.80 : 387,239.40 = 211,465.20 : x
  2. Step 2: Convert to fraction form
    258,466.80/387,239.40 = 211,465.20/x
  3. Step 3: Cross multiply
    258,466.80x = 387,239.40 × 211,465.20
  4. Step 4: Simplify right side
    258,466.80x = 81,887,657,168.88
  5. Step 5: Solve for x
    x = 81,887,657,168.88/258,466.80
  6. Step 6: Final answer
    x = 316,820.80

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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.