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Finding the Fourth Proportional to 305,325.90, 421,314.72 and 176,263.86

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Solution

The fourth proportional to 305,325.90, 421,314.72 and 176,263.86 is: 243,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,325.90 : 421,314.72 = 176,263.86 : x
  2. Step 2: Convert to fraction form
    305,325.90/421,314.72 = 176,263.86/x
  3. Step 3: Cross multiply
    305,325.90x = 421,314.72 × 176,263.86
  4. Step 4: Simplify right side
    305,325.90x = 74,262,558,822.02
  5. Step 5: Solve for x
    x = 74,262,558,822.02/305,325.90
  6. Step 6: Final answer
    x = 243,223.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.