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Finding the Fourth Proportional to 228,818.88, 343,089.36 and 102,435.12

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Solution

The fourth proportional to 228,818.88, 343,089.36 and 102,435.12 is: 153,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,818.88 : 343,089.36 = 102,435.12 : x
  2. Step 2: Convert to fraction form
    228,818.88/343,089.36 = 102,435.12/x
  3. Step 3: Cross multiply
    228,818.88x = 343,089.36 × 102,435.12
  4. Step 4: Simplify right side
    228,818.88x = 35,144,399,762.32
  5. Step 5: Solve for x
    x = 35,144,399,762.32/228,818.88
  6. Step 6: Final answer
    x = 153,590.47

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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.