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Finding the Fourth Proportional to 511,492.72, 705,834.12 and 285,094.48

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Solution

The fourth proportional to 511,492.72, 705,834.12 and 285,094.48 is: 393,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,492.72 : 705,834.12 = 285,094.48 : x
  2. Step 2: Convert to fraction form
    511,492.72/705,834.12 = 285,094.48/x
  3. Step 3: Cross multiply
    511,492.72x = 705,834.12 × 285,094.48
  4. Step 4: Simplify right side
    511,492.72x = 201,229,411,407.66
  5. Step 5: Solve for x
    x = 201,229,411,407.66/511,492.72
  6. Step 6: Final answer
    x = 393,415.98

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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.