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Finding the Fourth Proportional to 338,803.36, 507,527.40 and 203,792.86

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Solution

The fourth proportional to 338,803.36, 507,527.40 and 203,792.86 is: 305,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,803.36 : 507,527.40 = 203,792.86 : x
  2. Step 2: Convert to fraction form
    338,803.36/507,527.40 = 203,792.86/x
  3. Step 3: Cross multiply
    338,803.36x = 507,527.40 × 203,792.86
  4. Step 4: Simplify right side
    338,803.36x = 103,430,461,773.00
  5. Step 5: Solve for x
    x = 103,430,461,773.00/338,803.36
  6. Step 6: Final answer
    x = 305,281.69

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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.