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Finding the Fourth Proportional to 519,238.28, 778,066.86 and 385,491.08

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Solution

The fourth proportional to 519,238.28, 778,066.86 and 385,491.08 is: 577,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,238.28 : 778,066.86 = 385,491.08 : x
  2. Step 2: Convert to fraction form
    519,238.28/778,066.86 = 385,491.08/x
  3. Step 3: Cross multiply
    519,238.28x = 778,066.86 × 385,491.08
  4. Step 4: Simplify right side
    519,238.28x = 299,937,834,173.61
  5. Step 5: Solve for x
    x = 299,937,834,173.61/519,238.28
  6. Step 6: Final answer
    x = 577,649.70

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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.