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Finding the Fourth Proportional to 446,490.96, 669,852.36 and 147,018

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Solution

The fourth proportional to 446,490.96, 669,852.36 and 147,018 is: 220,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,490.96 : 669,852.36 = 147,018 : x
  2. Step 2: Convert to fraction form
    446,490.96/669,852.36 = 147,018/x
  3. Step 3: Cross multiply
    446,490.96x = 669,852.36 × 147,018
  4. Step 4: Simplify right side
    446,490.96x = 98,480,354,262.48
  5. Step 5: Solve for x
    x = 98,480,354,262.48/446,490.96
  6. Step 6: Final answer
    x = 220,565.17

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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.