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Finding the Fourth Proportional to 208,659.98, 312,503.18 and 152,360.42

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Solution

The fourth proportional to 208,659.98, 312,503.18 and 152,360.42 is: 228,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,659.98 : 312,503.18 = 152,360.42 : x
  2. Step 2: Convert to fraction form
    208,659.98/312,503.18 = 152,360.42/x
  3. Step 3: Cross multiply
    208,659.98x = 312,503.18 × 152,360.42
  4. Step 4: Simplify right side
    208,659.98x = 47,613,115,756.14
  5. Step 5: Solve for x
    x = 47,613,115,756.14/208,659.98
  6. Step 6: Final answer
    x = 228,185.18

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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.