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Finding the Fourth Proportional to 288,815.34, 432,861.75 and 139,015.56

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Solution

The fourth proportional to 288,815.34, 432,861.75 and 139,015.56 is: 208,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,815.34 : 432,861.75 = 139,015.56 : x
  2. Step 2: Convert to fraction form
    288,815.34/432,861.75 = 139,015.56/x
  3. Step 3: Cross multiply
    288,815.34x = 432,861.75 × 139,015.56
  4. Step 4: Simplify right side
    288,815.34x = 60,174,518,578.83
  5. Step 5: Solve for x
    x = 60,174,518,578.83/288,815.34
  6. Step 6: Final answer
    x = 208,349.45

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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.