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Finding the Fourth Proportional to 511,484.48, 705,849.48 and 285,125.12

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Solution

The fourth proportional to 511,484.48, 705,849.48 and 285,125.12 is: 393,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,484.48 : 705,849.48 = 285,125.12 : x
  2. Step 2: Convert to fraction form
    511,484.48/705,849.48 = 285,125.12/x
  3. Step 3: Cross multiply
    511,484.48x = 705,849.48 × 285,125.12
  4. Step 4: Simplify right side
    511,484.48x = 201,255,417,686.94
  5. Step 5: Solve for x
    x = 201,255,417,686.94/511,484.48
  6. Step 6: Final answer
    x = 393,473.17

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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.