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Finding the Fourth Proportional to 304,925.54, 457,389.30 and 77,221.03

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Solution

The fourth proportional to 304,925.54, 457,389.30 and 77,221.03 is: 115,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,925.54 : 457,389.30 = 77,221.03 : x
  2. Step 2: Convert to fraction form
    304,925.54/457,389.30 = 77,221.03/x
  3. Step 3: Cross multiply
    304,925.54x = 457,389.30 × 77,221.03
  4. Step 4: Simplify right side
    304,925.54x = 35,320,072,856.98
  5. Step 5: Solve for x
    x = 35,320,072,856.98/304,925.54
  6. Step 6: Final answer
    x = 115,831.80

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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.