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Finding the Fourth Proportional to 357,090.56, 535,810.56 and 143,849.60

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Solution

The fourth proportional to 357,090.56, 535,810.56 and 143,849.60 is: 215,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,090.56 : 535,810.56 = 143,849.60 : x
  2. Step 2: Convert to fraction form
    357,090.56/535,810.56 = 143,849.60/x
  3. Step 3: Cross multiply
    357,090.56x = 535,810.56 × 143,849.60
  4. Step 4: Simplify right side
    357,090.56x = 77,076,134,731.78
  5. Step 5: Solve for x
    x = 77,076,134,731.78/357,090.56
  6. Step 6: Final answer
    x = 215,844.78

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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.