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Finding the Fourth Proportional to 513,884.61, 709,142.67 and 284,442.35

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Solution

The fourth proportional to 513,884.61, 709,142.67 and 284,442.35 is: 392,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,884.61 : 709,142.67 = 284,442.35 : x
  2. Step 2: Convert to fraction form
    513,884.61/709,142.67 = 284,442.35/x
  3. Step 3: Cross multiply
    513,884.61x = 709,142.67 × 284,442.35
  4. Step 4: Simplify right side
    513,884.61x = 201,710,203,994.36
  5. Step 5: Solve for x
    x = 201,710,203,994.36/513,884.61
  6. Step 6: Final answer
    x = 392,520.42

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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.