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Finding the Fourth Proportional to 546,551.66, 819,564.78 and 309,830.78

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Solution

The fourth proportional to 546,551.66, 819,564.78 and 309,830.78 is: 464,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,551.66 : 819,564.78 = 309,830.78 : x
  2. Step 2: Convert to fraction form
    546,551.66/819,564.78 = 309,830.78/x
  3. Step 3: Cross multiply
    546,551.66x = 819,564.78 × 309,830.78
  4. Step 4: Simplify right side
    546,551.66x = 253,926,395,047.93
  5. Step 5: Solve for x
    x = 253,926,395,047.93/546,551.66
  6. Step 6: Final answer
    x = 464,597.24

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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.