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Finding the Fourth Proportional to 510,913.58, 705,007.80 and 314,649

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Solution

The fourth proportional to 510,913.58, 705,007.80 and 314,649 is: 434,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,913.58 : 705,007.80 = 314,649 : x
  2. Step 2: Convert to fraction form
    510,913.58/705,007.80 = 314,649/x
  3. Step 3: Cross multiply
    510,913.58x = 705,007.80 × 314,649
  4. Step 4: Simplify right side
    510,913.58x = 221,829,999,262.20
  5. Step 5: Solve for x
    x = 221,829,999,262.20/510,913.58
  6. Step 6: Final answer
    x = 434,183.02

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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.