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Finding the Fourth Proportional to 513,884.49, 709,142.50 and 284,442.22

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Solution

The fourth proportional to 513,884.49, 709,142.50 and 284,442.22 is: 392,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,884.49 : 709,142.50 = 284,442.22 : x
  2. Step 2: Convert to fraction form
    513,884.49/709,142.50 = 284,442.22/x
  3. Step 3: Cross multiply
    513,884.49x = 709,142.50 × 284,442.22
  4. Step 4: Simplify right side
    513,884.49x = 201,710,066,996.35
  5. Step 5: Solve for x
    x = 201,710,066,996.35/513,884.49
  6. Step 6: Final answer
    x = 392,520.25

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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.