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Finding the Fourth Proportional to 504,653.12, 695,697.92 and 397,036.80

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Solution

The fourth proportional to 504,653.12, 695,697.92 and 397,036.80 is: 547,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,653.12 : 695,697.92 = 397,036.80 : x
  2. Step 2: Convert to fraction form
    504,653.12/695,697.92 = 397,036.80/x
  3. Step 3: Cross multiply
    504,653.12x = 695,697.92 × 397,036.80
  4. Step 4: Simplify right side
    504,653.12x = 276,217,675,923.46
  5. Step 5: Solve for x
    x = 276,217,675,923.46/504,653.12
  6. Step 6: Final answer
    x = 547,341.66

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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.