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Finding the Fourth Proportional to 762,752, 1,143,329.64 and 257,138.24

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Solution

The fourth proportional to 762,752, 1,143,329.64 and 257,138.24 is: 385,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,752 : 1,143,329.64 = 257,138.24 : x
  2. Step 2: Convert to fraction form
    762,752/1,143,329.64 = 257,138.24/x
  3. Step 3: Cross multiply
    762,752x = 1,143,329.64 × 257,138.24
  4. Step 4: Simplify right side
    762,752x = 293,993,771,369.43
  5. Step 5: Solve for x
    x = 293,993,771,369.43/762,752
  6. Step 6: Final answer
    x = 385,438.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.