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Finding the Fourth Proportional to 303,347.20, 455,366.40 and 178,758.40

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Solution

The fourth proportional to 303,347.20, 455,366.40 and 178,758.40 is: 268,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,347.20 : 455,366.40 = 178,758.40 : x
  2. Step 2: Convert to fraction form
    303,347.20/455,366.40 = 178,758.40/x
  3. Step 3: Cross multiply
    303,347.20x = 455,366.40 × 178,758.40
  4. Step 4: Simplify right side
    303,347.20x = 81,400,569,077.76
  5. Step 5: Solve for x
    x = 81,400,569,077.76/303,347.20
  6. Step 6: Final answer
    x = 268,341.26

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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.