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Finding the Fourth Proportional to 509,499.40, 702,368.10 and 356,061.20

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Solution

The fourth proportional to 509,499.40, 702,368.10 and 356,061.20 is: 490,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,499.40 : 702,368.10 = 356,061.20 : x
  2. Step 2: Convert to fraction form
    509,499.40/702,368.10 = 356,061.20/x
  3. Step 3: Cross multiply
    509,499.40x = 702,368.10 × 356,061.20
  4. Step 4: Simplify right side
    509,499.40x = 250,086,028,527.72
  5. Step 5: Solve for x
    x = 250,086,028,527.72/509,499.40
  6. Step 6: Final answer
    x = 490,846.56

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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.