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Finding the Fourth Proportional to 288,821.34, 432,870.75 and 139,021.56

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Solution

The fourth proportional to 288,821.34, 432,870.75 and 139,021.56 is: 208,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,821.34 : 432,870.75 = 139,021.56 : x
  2. Step 2: Convert to fraction form
    288,821.34/432,870.75 = 139,021.56/x
  3. Step 3: Cross multiply
    288,821.34x = 432,870.75 × 139,021.56
  4. Step 4: Simplify right side
    288,821.34x = 60,178,366,943.37
  5. Step 5: Solve for x
    x = 60,178,366,943.37/288,821.34
  6. Step 6: Final answer
    x = 208,358.45

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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.