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Finding the Fourth Proportional to 356,981.30, 535,730.91 and 287,697.14

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Solution

The fourth proportional to 356,981.30, 535,730.91 and 287,697.14 is: 431,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,981.30 : 535,730.91 = 287,697.14 : x
  2. Step 2: Convert to fraction form
    356,981.30/535,730.91 = 287,697.14/x
  3. Step 3: Cross multiply
    356,981.30x = 535,730.91 × 287,697.14
  4. Step 4: Simplify right side
    356,981.30x = 154,128,250,616.60
  5. Step 5: Solve for x
    x = 154,128,250,616.60/356,981.30
  6. Step 6: Final answer
    x = 431,754.41

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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.