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Finding the Fourth Proportional to 289,300.92, 434,013.36 and 147,165.98

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Solution

The fourth proportional to 289,300.92, 434,013.36 and 147,165.98 is: 220,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,300.92 : 434,013.36 = 147,165.98 : x
  2. Step 2: Convert to fraction form
    289,300.92/434,013.36 = 147,165.98/x
  3. Step 3: Cross multiply
    289,300.92x = 434,013.36 × 147,165.98
  4. Step 4: Simplify right side
    289,300.92x = 63,872,001,457.49
  5. Step 5: Solve for x
    x = 63,872,001,457.49/289,300.92
  6. Step 6: Final answer
    x = 220,780.50

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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.