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Finding the Fourth Proportional to 289,744.80, 434,746.80 and 139,927.20

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Solution

The fourth proportional to 289,744.80, 434,746.80 and 139,927.20 is: 209,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,744.80 : 434,746.80 = 139,927.20 : x
  2. Step 2: Convert to fraction form
    289,744.80/434,746.80 = 139,927.20/x
  3. Step 3: Cross multiply
    289,744.80x = 434,746.80 × 139,927.20
  4. Step 4: Simplify right side
    289,744.80x = 60,832,902,432.96
  5. Step 5: Solve for x
    x = 60,832,902,432.96/289,744.80
  6. Step 6: Final answer
    x = 209,953.39

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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.