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Finding the Fourth Proportional to 289,420.88, 434,254.92 and 149,277.92

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Solution

The fourth proportional to 289,420.88, 434,254.92 and 149,277.92 is: 223,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,420.88 : 434,254.92 = 149,277.92 : x
  2. Step 2: Convert to fraction form
    289,420.88/434,254.92 = 149,277.92/x
  3. Step 3: Cross multiply
    289,420.88x = 434,254.92 × 149,277.92
  4. Step 4: Simplify right side
    289,420.88x = 64,824,671,207.37
  5. Step 5: Solve for x
    x = 64,824,671,207.37/289,420.88
  6. Step 6: Final answer
    x = 223,980.63

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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.