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Finding the Fourth Proportional to 357,076.80, 535,615.20 and 310,420.80

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Solution

The fourth proportional to 357,076.80, 535,615.20 and 310,420.80 is: 465,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,076.80 : 535,615.20 = 310,420.80 : x
  2. Step 2: Convert to fraction form
    357,076.80/535,615.20 = 310,420.80/x
  3. Step 3: Cross multiply
    357,076.80x = 535,615.20 × 310,420.80
  4. Step 4: Simplify right side
    357,076.80x = 166,266,098,876.16
  5. Step 5: Solve for x
    x = 166,266,098,876.16/357,076.80
  6. Step 6: Final answer
    x = 465,631.20

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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.