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Finding the Fourth Proportional to 546,463.40, 754,173.71 and 408,402.55

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Solution

The fourth proportional to 546,463.40, 754,173.71 and 408,402.55 is: 563,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,463.40 : 754,173.71 = 408,402.55 : x
  2. Step 2: Convert to fraction form
    546,463.40/754,173.71 = 408,402.55/x
  3. Step 3: Cross multiply
    546,463.40x = 754,173.71 × 408,402.55
  4. Step 4: Simplify right side
    546,463.40x = 308,006,463,911.02
  5. Step 5: Solve for x
    x = 308,006,463,911.02/546,463.40
  6. Step 6: Final answer
    x = 563,636.03

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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.