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Finding the Fourth Proportional to 558,912, 771,298.56 and 304,248

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Solution

The fourth proportional to 558,912, 771,298.56 and 304,248 is: 419,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,912 : 771,298.56 = 304,248 : x
  2. Step 2: Convert to fraction form
    558,912/771,298.56 = 304,248/x
  3. Step 3: Cross multiply
    558,912x = 771,298.56 × 304,248
  4. Step 4: Simplify right side
    558,912x = 234,666,044,282.88
  5. Step 5: Solve for x
    x = 234,666,044,282.88/558,912
  6. Step 6: Final answer
    x = 419,862.24

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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.