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Finding the Fourth Proportional to 654,059.76, 902,040.44 and 424,390.80

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Solution

The fourth proportional to 654,059.76, 902,040.44 and 424,390.80 is: 585,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,059.76 : 902,040.44 = 424,390.80 : x
  2. Step 2: Convert to fraction form
    654,059.76/902,040.44 = 424,390.80/x
  3. Step 3: Cross multiply
    654,059.76x = 902,040.44 × 424,390.80
  4. Step 4: Simplify right side
    654,059.76x = 382,817,663,963.95
  5. Step 5: Solve for x
    x = 382,817,663,963.95/654,059.76
  6. Step 6: Final answer
    x = 585,294.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.