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Finding the Fourth Proportional to 353,085.84, 487,329.28 and 209,818.20

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Solution

The fourth proportional to 353,085.84, 487,329.28 and 209,818.20 is: 289,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,085.84 : 487,329.28 = 209,818.20 : x
  2. Step 2: Convert to fraction form
    353,085.84/487,329.28 = 209,818.20/x
  3. Step 3: Cross multiply
    353,085.84x = 487,329.28 × 209,818.20
  4. Step 4: Simplify right side
    353,085.84x = 102,250,552,336.90
  5. Step 5: Solve for x
    x = 102,250,552,336.90/353,085.84
  6. Step 6: Final answer
    x = 289,591.20

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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.