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Finding the Fourth Proportional to 510,438.37, 704,409.72 and 281,000.20

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Solution

The fourth proportional to 510,438.37, 704,409.72 and 281,000.20 is: 387,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,438.37 : 704,409.72 = 281,000.20 : x
  2. Step 2: Convert to fraction form
    510,438.37/704,409.72 = 281,000.20/x
  3. Step 3: Cross multiply
    510,438.37x = 704,409.72 × 281,000.20
  4. Step 4: Simplify right side
    510,438.37x = 197,939,270,358.82
  5. Step 5: Solve for x
    x = 197,939,270,358.82/510,438.37
  6. Step 6: Final answer
    x = 387,782.90

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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.