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Finding the Fourth Proportional to 369,316.16, 509,624.16 and 216,375.20

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Solution

The fourth proportional to 369,316.16, 509,624.16 and 216,375.20 is: 298,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,316.16 : 509,624.16 = 216,375.20 : x
  2. Step 2: Convert to fraction form
    369,316.16/509,624.16 = 216,375.20/x
  3. Step 3: Cross multiply
    369,316.16x = 509,624.16 × 216,375.20
  4. Step 4: Simplify right side
    369,316.16x = 110,270,029,544.83
  5. Step 5: Solve for x
    x = 110,270,029,544.83/369,316.16
  6. Step 6: Final answer
    x = 298,578.95

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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.