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Finding the Fourth Proportional to 513,653.85, 709,127.36 and 309,756.42

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Solution

The fourth proportional to 513,653.85, 709,127.36 and 309,756.42 is: 427,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,653.85 : 709,127.36 = 309,756.42 : x
  2. Step 2: Convert to fraction form
    513,653.85/709,127.36 = 309,756.42/x
  3. Step 3: Cross multiply
    513,653.85x = 709,127.36 × 309,756.42
  4. Step 4: Simplify right side
    513,653.85x = 219,656,750,808.87
  5. Step 5: Solve for x
    x = 219,656,750,808.87/513,653.85
  6. Step 6: Final answer
    x = 427,635.75

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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.