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Finding the Fourth Proportional to 518,042.78, 714,709.39 and 313,946.46

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Solution

The fourth proportional to 518,042.78, 714,709.39 and 313,946.46 is: 433,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,042.78 : 714,709.39 = 313,946.46 : x
  2. Step 2: Convert to fraction form
    518,042.78/714,709.39 = 313,946.46/x
  3. Step 3: Cross multiply
    518,042.78x = 714,709.39 × 313,946.46
  4. Step 4: Simplify right side
    518,042.78x = 224,380,482,919.26
  5. Step 5: Solve for x
    x = 224,380,482,919.26/518,042.78
  6. Step 6: Final answer
    x = 433,131.18

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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.