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Finding the Fourth Proportional to 577,705.76, 797,219.02 and 319,575.98

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Solution

The fourth proportional to 577,705.76, 797,219.02 and 319,575.98 is: 441,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,705.76 : 797,219.02 = 319,575.98 : x
  2. Step 2: Convert to fraction form
    577,705.76/797,219.02 = 319,575.98/x
  3. Step 3: Cross multiply
    577,705.76x = 797,219.02 × 319,575.98
  4. Step 4: Simplify right side
    577,705.76x = 254,772,049,591.14
  5. Step 5: Solve for x
    x = 254,772,049,591.14/577,705.76
  6. Step 6: Final answer
    x = 441,006.59

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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.