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Finding the Fourth Proportional to 261,259.74, 392,775.48 and 208,624.14

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Solution

The fourth proportional to 261,259.74, 392,775.48 and 208,624.14 is: 313,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,259.74 : 392,775.48 = 208,624.14 : x
  2. Step 2: Convert to fraction form
    261,259.74/392,775.48 = 208,624.14/x
  3. Step 3: Cross multiply
    261,259.74x = 392,775.48 × 208,624.14
  4. Step 4: Simplify right side
    261,259.74x = 81,942,446,728.09
  5. Step 5: Solve for x
    x = 81,942,446,728.09/261,259.74
  6. Step 6: Final answer
    x = 313,643.61

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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.