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Finding the Fourth Proportional to 517,965.24, 715,197.42 and 405,109.56

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Solution

The fourth proportional to 517,965.24, 715,197.42 and 405,109.56 is: 559,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,965.24 : 715,197.42 = 405,109.56 : x
  2. Step 2: Convert to fraction form
    517,965.24/715,197.42 = 405,109.56/x
  3. Step 3: Cross multiply
    517,965.24x = 715,197.42 × 405,109.56
  4. Step 4: Simplify right side
    517,965.24x = 289,733,312,129.34
  5. Step 5: Solve for x
    x = 289,733,312,129.34/517,965.24
  6. Step 6: Final answer
    x = 559,368.25

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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.