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Finding the Fourth Proportional to 409,283.09, 614,343.58 and 337,978.54

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Solution

The fourth proportional to 409,283.09, 614,343.58 and 337,978.54 is: 507,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,283.09 : 614,343.58 = 337,978.54 : x
  2. Step 2: Convert to fraction form
    409,283.09/614,343.58 = 337,978.54/x
  3. Step 3: Cross multiply
    409,283.09x = 614,343.58 × 337,978.54
  4. Step 4: Simplify right side
    409,283.09x = 207,634,946,226.77
  5. Step 5: Solve for x
    x = 207,634,946,226.77/409,283.09
  6. Step 6: Final answer
    x = 507,313.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.