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Finding the Fourth Proportional to 521,709.72, 720,005.05 and 292,263.31

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Solution

The fourth proportional to 521,709.72, 720,005.05 and 292,263.31 is: 403,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,709.72 : 720,005.05 = 292,263.31 : x
  2. Step 2: Convert to fraction form
    521,709.72/720,005.05 = 292,263.31/x
  3. Step 3: Cross multiply
    521,709.72x = 720,005.05 × 292,263.31
  4. Step 4: Simplify right side
    521,709.72x = 210,431,059,129.72
  5. Step 5: Solve for x
    x = 210,431,059,129.72/521,709.72
  6. Step 6: Final answer
    x = 403,348.93

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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.