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Finding the Fourth Proportional to 457,603.70, 686,440.63 and 153,999.34

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Solution

The fourth proportional to 457,603.70, 686,440.63 and 153,999.34 is: 231,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,603.70 : 686,440.63 = 153,999.34 : x
  2. Step 2: Convert to fraction form
    457,603.70/686,440.63 = 153,999.34/x
  3. Step 3: Cross multiply
    457,603.70x = 686,440.63 × 153,999.34
  4. Step 4: Simplify right side
    457,603.70x = 105,711,403,969.18
  5. Step 5: Solve for x
    x = 105,711,403,969.18/457,603.70
  6. Step 6: Final answer
    x = 231,010.82

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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.