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Finding the Fourth Proportional to 405,299.95, 559,023.85 and 284,468.20

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Solution

The fourth proportional to 405,299.95, 559,023.85 and 284,468.20 is: 392,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,299.95 : 559,023.85 = 284,468.20 : x
  2. Step 2: Convert to fraction form
    405,299.95/559,023.85 = 284,468.20/x
  3. Step 3: Cross multiply
    405,299.95x = 559,023.85 × 284,468.20
  4. Step 4: Simplify right side
    405,299.95x = 159,024,508,366.57
  5. Step 5: Solve for x
    x = 159,024,508,366.57/405,299.95
  6. Step 6: Final answer
    x = 392,362.52

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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.