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Finding the Fourth Proportional to 510,897.33, 705,060.23 and 284,542.83

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Solution

The fourth proportional to 510,897.33, 705,060.23 and 284,542.83 is: 392,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,897.33 : 705,060.23 = 284,542.83 : x
  2. Step 2: Convert to fraction form
    510,897.33/705,060.23 = 284,542.83/x
  3. Step 3: Cross multiply
    510,897.33x = 705,060.23 × 284,542.83
  4. Step 4: Simplify right side
    510,897.33x = 200,619,831,741.94
  5. Step 5: Solve for x
    x = 200,619,831,741.94/510,897.33
  6. Step 6: Final answer
    x = 392,681.31

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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.