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Finding the Fourth Proportional to 428,488.92, 642,531.94 and 158,430.47

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Solution

The fourth proportional to 428,488.92, 642,531.94 and 158,430.47 is: 237,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,488.92 : 642,531.94 = 158,430.47 : x
  2. Step 2: Convert to fraction form
    428,488.92/642,531.94 = 158,430.47/x
  3. Step 3: Cross multiply
    428,488.92x = 642,531.94 × 158,430.47
  4. Step 4: Simplify right side
    428,488.92x = 101,796,638,454.47
  5. Step 5: Solve for x
    x = 101,796,638,454.47/428,488.92
  6. Step 6: Final answer
    x = 237,571.23

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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.