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Finding the Fourth Proportional to 446,905.72, 670,264 and 147,315.09

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Solution

The fourth proportional to 446,905.72, 670,264 and 147,315.09 is: 220,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,905.72 : 670,264 = 147,315.09 : x
  2. Step 2: Convert to fraction form
    446,905.72/670,264 = 147,315.09/x
  3. Step 3: Cross multiply
    446,905.72x = 670,264 × 147,315.09
  4. Step 4: Simplify right side
    446,905.72x = 98,740,001,483.76
  5. Step 5: Solve for x
    x = 98,740,001,483.76/446,905.72
  6. Step 6: Final answer
    x = 220,941.46

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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.