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Finding the Fourth Proportional to 500,857.65, 691,148.75 and 296,898.03

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Solution

The fourth proportional to 500,857.65, 691,148.75 and 296,898.03 is: 409,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,857.65 : 691,148.75 = 296,898.03 : x
  2. Step 2: Convert to fraction form
    500,857.65/691,148.75 = 296,898.03/x
  3. Step 3: Cross multiply
    500,857.65x = 691,148.75 × 296,898.03
  4. Step 4: Simplify right side
    500,857.65x = 205,200,699,598.46
  5. Step 5: Solve for x
    x = 205,200,699,598.46/500,857.65
  6. Step 6: Final answer
    x = 409,698.65

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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.