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Finding the Fourth Proportional to 385,291.92, 578,178.45 and 277,232.25

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Solution

The fourth proportional to 385,291.92, 578,178.45 and 277,232.25 is: 416,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,291.92 : 578,178.45 = 277,232.25 : x
  2. Step 2: Convert to fraction form
    385,291.92/578,178.45 = 277,232.25/x
  3. Step 3: Cross multiply
    385,291.92x = 578,178.45 × 277,232.25
  4. Step 4: Simplify right side
    385,291.92x = 160,289,712,595.01
  5. Step 5: Solve for x
    x = 160,289,712,595.01/385,291.92
  6. Step 6: Final answer
    x = 416,021.47

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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.