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Finding the Fourth Proportional to 509,408.24, 702,968.51 and 291,609.71

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Solution

The fourth proportional to 509,408.24, 702,968.51 and 291,609.71 is: 402,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,408.24 : 702,968.51 = 291,609.71 : x
  2. Step 2: Convert to fraction form
    509,408.24/702,968.51 = 291,609.71/x
  3. Step 3: Cross multiply
    509,408.24x = 702,968.51 × 291,609.71
  4. Step 4: Simplify right side
    509,408.24x = 204,992,438,367.34
  5. Step 5: Solve for x
    x = 204,992,438,367.34/509,408.24
  6. Step 6: Final answer
    x = 402,412.89

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1.5x scale

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.