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Finding the Fourth Proportional to 518,819.85, 715,764.80 and 314,795.84

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Solution

The fourth proportional to 518,819.85, 715,764.80 and 314,795.84 is: 434,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,819.85 : 715,764.80 = 314,795.84 : x
  2. Step 2: Convert to fraction form
    518,819.85/715,764.80 = 314,795.84/x
  3. Step 3: Cross multiply
    518,819.85x = 715,764.80 × 314,795.84
  4. Step 4: Simplify right side
    518,819.85x = 225,319,778,666.60
  5. Step 5: Solve for x
    x = 225,319,778,666.60/518,819.85
  6. Step 6: Final answer
    x = 434,292.90

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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.