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Finding the Fourth Proportional to 509,439.42, 703,029.60 and 318,564.54

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Solution

The fourth proportional to 509,439.42, 703,029.60 and 318,564.54 is: 439,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,439.42 : 703,029.60 = 318,564.54 : x
  2. Step 2: Convert to fraction form
    509,439.42/703,029.60 = 318,564.54/x
  3. Step 3: Cross multiply
    509,439.42x = 703,029.60 × 318,564.54
  4. Step 4: Simplify right side
    509,439.42x = 223,960,301,130.38
  5. Step 5: Solve for x
    x = 223,960,301,130.38/509,439.42
  6. Step 6: Final answer
    x = 439,621.07

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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.