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Finding the Fourth Proportional to 546,454.85, 818,962.61 and 306,564.21

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Solution

The fourth proportional to 546,454.85, 818,962.61 and 306,564.21 is: 459,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,454.85 : 818,962.61 = 306,564.21 : x
  2. Step 2: Convert to fraction form
    546,454.85/818,962.61 = 306,564.21/x
  3. Step 3: Cross multiply
    546,454.85x = 818,962.61 × 306,564.21
  4. Step 4: Simplify right side
    546,454.85x = 251,064,624,021.37
  5. Step 5: Solve for x
    x = 251,064,624,021.37/546,454.85
  6. Step 6: Final answer
    x = 459,442.58

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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.