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Finding the Fourth Proportional to 478,051.80, 717,336.90 and 211,853.40

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Solution

The fourth proportional to 478,051.80, 717,336.90 and 211,853.40 is: 317,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,051.80 : 717,336.90 = 211,853.40 : x
  2. Step 2: Convert to fraction form
    478,051.80/717,336.90 = 211,853.40/x
  3. Step 3: Cross multiply
    478,051.80x = 717,336.90 × 211,853.40
  4. Step 4: Simplify right side
    478,051.80x = 151,970,261,210.46
  5. Step 5: Solve for x
    x = 151,970,261,210.46/478,051.80
  6. Step 6: Final answer
    x = 317,894.97

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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.