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Finding the Fourth Proportional to 654,000.12, 902,526.12 and 395,883

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Solution

The fourth proportional to 654,000.12, 902,526.12 and 395,883 is: 546,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,000.12 : 902,526.12 = 395,883 : x
  2. Step 2: Convert to fraction form
    654,000.12/902,526.12 = 395,883/x
  3. Step 3: Cross multiply
    654,000.12x = 902,526.12 × 395,883
  4. Step 4: Simplify right side
    654,000.12x = 357,294,747,963.96
  5. Step 5: Solve for x
    x = 357,294,747,963.96/654,000.12
  6. Step 6: Final answer
    x = 546,322.14

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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.