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Finding the Fourth Proportional to 385,607.82, 578,651.22 and 185,948.76

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Solution

The fourth proportional to 385,607.82, 578,651.22 and 185,948.76 is: 279,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,607.82 : 578,651.22 = 185,948.76 : x
  2. Step 2: Convert to fraction form
    385,607.82/578,651.22 = 185,948.76/x
  3. Step 3: Cross multiply
    385,607.82x = 578,651.22 × 185,948.76
  4. Step 4: Simplify right side
    385,607.82x = 107,599,476,831.49
  5. Step 5: Solve for x
    x = 107,599,476,831.49/385,607.82
  6. Step 6: Final answer
    x = 279,038.63

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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.