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Finding the Fourth Proportional to 509,155.29, 702,475.78 and 294,216.93

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Solution

The fourth proportional to 509,155.29, 702,475.78 and 294,216.93 is: 405,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,155.29 : 702,475.78 = 294,216.93 : x
  2. Step 2: Convert to fraction form
    509,155.29/702,475.78 = 294,216.93/x
  3. Step 3: Cross multiply
    509,155.29x = 702,475.78 × 294,216.93
  4. Step 4: Simplify right side
    509,155.29x = 206,680,267,390.96
  5. Step 5: Solve for x
    x = 206,680,267,390.96/509,155.29
  6. Step 6: Final answer
    x = 405,927.76

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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.