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Finding the Fourth Proportional to 309,695.88, 463,756.56 and 283,714.32

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Solution

The fourth proportional to 309,695.88, 463,756.56 and 283,714.32 is: 424,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,695.88 : 463,756.56 = 283,714.32 : x
  2. Step 2: Convert to fraction form
    309,695.88/463,756.56 = 283,714.32/x
  3. Step 3: Cross multiply
    309,695.88x = 463,756.56 × 283,714.32
  4. Step 4: Simplify right side
    309,695.88x = 131,574,377,065.94
  5. Step 5: Solve for x
    x = 131,574,377,065.94/309,695.88
  6. Step 6: Final answer
    x = 424,850.27

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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.