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Finding the Fourth Proportional to 546,294.40, 819,902.40 and 266,051.20

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Solution

The fourth proportional to 546,294.40, 819,902.40 and 266,051.20 is: 399,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,294.40 : 819,902.40 = 266,051.20 : x
  2. Step 2: Convert to fraction form
    546,294.40/819,902.40 = 266,051.20/x
  3. Step 3: Cross multiply
    546,294.40x = 819,902.40 × 266,051.20
  4. Step 4: Simplify right side
    546,294.40x = 218,136,017,402.88
  5. Step 5: Solve for x
    x = 218,136,017,402.88/546,294.40
  6. Step 6: Final answer
    x = 399,301.21

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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.