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Finding the Fourth Proportional to 513,941.51, 709,230.70 and 284,493.95

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Solution

The fourth proportional to 513,941.51, 709,230.70 and 284,493.95 is: 392,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,941.51 : 709,230.70 = 284,493.95 : x
  2. Step 2: Convert to fraction form
    513,941.51/709,230.70 = 284,493.95/x
  3. Step 3: Cross multiply
    513,941.51x = 709,230.70 × 284,493.95
  4. Step 4: Simplify right side
    513,941.51x = 201,771,839,046.88
  5. Step 5: Solve for x
    x = 201,771,839,046.88/513,941.51
  6. Step 6: Final answer
    x = 392,596.89

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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.