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Finding the Fourth Proportional to 457,355.67, 685,903.86 and 288,623.22

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Solution

The fourth proportional to 457,355.67, 685,903.86 and 288,623.22 is: 432,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,355.67 : 685,903.86 = 288,623.22 : x
  2. Step 2: Convert to fraction form
    457,355.67/685,903.86 = 288,623.22/x
  3. Step 3: Cross multiply
    457,355.67x = 685,903.86 × 288,623.22
  4. Step 4: Simplify right side
    457,355.67x = 197,967,780,683.63
  5. Step 5: Solve for x
    x = 197,967,780,683.63/457,355.67
  6. Step 6: Final answer
    x = 432,853.01

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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.