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Finding the Fourth Proportional to 559,654.16, 772,300.20 and 304,999.84

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Solution

The fourth proportional to 559,654.16, 772,300.20 and 304,999.84 is: 420,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,654.16 : 772,300.20 = 304,999.84 : x
  2. Step 2: Convert to fraction form
    559,654.16/772,300.20 = 304,999.84/x
  3. Step 3: Cross multiply
    559,654.16x = 772,300.20 × 304,999.84
  4. Step 4: Simplify right side
    559,654.16x = 235,551,437,431.97
  5. Step 5: Solve for x
    x = 235,551,437,431.97/559,654.16
  6. Step 6: Final answer
    x = 420,887.49

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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.