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Finding the Fourth Proportional to 509,477.50, 702,337.95 and 356,039.31

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Solution

The fourth proportional to 509,477.50, 702,337.95 and 356,039.31 is: 490,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,477.50 : 702,337.95 = 356,039.31 : x
  2. Step 2: Convert to fraction form
    509,477.50/702,337.95 = 356,039.31/x
  3. Step 3: Cross multiply
    509,477.50x = 702,337.95 × 356,039.31
  4. Step 4: Simplify right side
    509,477.50x = 250,059,919,104.81
  5. Step 5: Solve for x
    x = 250,059,919,104.81/509,477.50
  6. Step 6: Final answer
    x = 490,816.41

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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.