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Finding the Fourth Proportional to 519,864.66, 717,113.90 and 312,989.22

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Solution

The fourth proportional to 519,864.66, 717,113.90 and 312,989.22 is: 431,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,864.66 : 717,113.90 = 312,989.22 : x
  2. Step 2: Convert to fraction form
    519,864.66/717,113.90 = 312,989.22/x
  3. Step 3: Cross multiply
    519,864.66x = 717,113.90 × 312,989.22
  4. Step 4: Simplify right side
    519,864.66x = 224,448,920,994.63
  5. Step 5: Solve for x
    x = 224,448,920,994.63/519,864.66
  6. Step 6: Final answer
    x = 431,744.91

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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.