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Finding the Fourth Proportional to 208,364.78, 312,551.78 and 144,259.76

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Solution

The fourth proportional to 208,364.78, 312,551.78 and 144,259.76 is: 216,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,364.78 : 312,551.78 = 144,259.76 : x
  2. Step 2: Convert to fraction form
    208,364.78/312,551.78 = 144,259.76/x
  3. Step 3: Cross multiply
    208,364.78x = 312,551.78 × 144,259.76
  4. Step 4: Simplify right side
    208,364.78x = 45,088,642,486.32
  5. Step 5: Solve for x
    x = 45,088,642,486.32/208,364.78
  6. Step 6: Final answer
    x = 216,392.83

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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.