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Finding the Fourth Proportional to 509,888.41, 704,365.55 and 408,586.81

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Solution

The fourth proportional to 509,888.41, 704,365.55 and 408,586.81 is: 564,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,888.41 : 704,365.55 = 408,586.81 : x
  2. Step 2: Convert to fraction form
    509,888.41/704,365.55 = 408,586.81/x
  3. Step 3: Cross multiply
    509,888.41x = 704,365.55 × 408,586.81
  4. Step 4: Simplify right side
    509,888.41x = 287,794,471,105.46
  5. Step 5: Solve for x
    x = 287,794,471,105.46/509,888.41
  6. Step 6: Final answer
    x = 564,426.38

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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.