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Finding the Fourth Proportional to 369,311.64, 509,689.25 and 216,478.25

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Solution

The fourth proportional to 369,311.64, 509,689.25 and 216,478.25 is: 298,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,311.64 : 509,689.25 = 216,478.25 : x
  2. Step 2: Convert to fraction form
    369,311.64/509,689.25 = 216,478.25/x
  3. Step 3: Cross multiply
    369,311.64x = 509,689.25 × 216,478.25
  4. Step 4: Simplify right side
    369,311.64x = 110,336,633,252.98
  5. Step 5: Solve for x
    x = 110,336,633,252.98/369,311.64
  6. Step 6: Final answer
    x = 298,762.95

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1.5x scale

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.