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Finding the Fourth Proportional to 546,978.64, 820,564.26 and 187,064.88

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Solution

The fourth proportional to 546,978.64, 820,564.26 and 187,064.88 is: 280,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,978.64 : 820,564.26 = 187,064.88 : x
  2. Step 2: Convert to fraction form
    546,978.64/820,564.26 = 187,064.88/x
  3. Step 3: Cross multiply
    546,978.64x = 820,564.26 × 187,064.88
  4. Step 4: Simplify right side
    546,978.64x = 153,498,754,829.19
  5. Step 5: Solve for x
    x = 153,498,754,829.19/546,978.64
  6. Step 6: Final answer
    x = 280,630.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.