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Finding the Fourth Proportional to 585,768.78, 877,650.08 and 319,716

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Solution

The fourth proportional to 585,768.78, 877,650.08 and 319,716 is: 479,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,768.78 : 877,650.08 = 319,716 : x
  2. Step 2: Convert to fraction form
    585,768.78/877,650.08 = 319,716/x
  3. Step 3: Cross multiply
    585,768.78x = 877,650.08 × 319,716
  4. Step 4: Simplify right side
    585,768.78x = 280,598,771,378.70
  5. Step 5: Solve for x
    x = 280,598,771,378.70/585,768.78
  6. Step 6: Final answer
    x = 479,026.50

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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.