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Finding the Fourth Proportional to 559,656.12, 772,302.96 and 305,001.84

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Solution

The fourth proportional to 559,656.12, 772,302.96 and 305,001.84 is: 420,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,656.12 : 772,302.96 = 305,001.84 : x
  2. Step 2: Convert to fraction form
    559,656.12/772,302.96 = 305,001.84/x
  3. Step 3: Cross multiply
    559,656.12x = 772,302.96 × 305,001.84
  4. Step 4: Simplify right side
    559,656.12x = 235,553,823,837.45
  5. Step 5: Solve for x
    x = 235,553,823,837.45/559,656.12
  6. Step 6: Final answer
    x = 420,890.28

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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.