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Finding the Fourth Proportional to 446,905.68, 670,216.32 and 147,330.40

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Solution

The fourth proportional to 446,905.68, 670,216.32 and 147,330.40 is: 220,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,905.68 : 670,216.32 = 147,330.40 : x
  2. Step 2: Convert to fraction form
    446,905.68/670,216.32 = 147,330.40/x
  3. Step 3: Cross multiply
    446,905.68x = 670,216.32 × 147,330.40
  4. Step 4: Simplify right side
    446,905.68x = 98,743,238,512.13
  5. Step 5: Solve for x
    x = 98,743,238,512.13/446,905.68
  6. Step 6: Final answer
    x = 220,948.72

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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.