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Finding the Fourth Proportional to 475,788, 656,587.44 and 263,820

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Solution

The fourth proportional to 475,788, 656,587.44 and 263,820 is: 364,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,788 : 656,587.44 = 263,820 : x
  2. Step 2: Convert to fraction form
    475,788/656,587.44 = 263,820/x
  3. Step 3: Cross multiply
    475,788x = 656,587.44 × 263,820
  4. Step 4: Simplify right side
    475,788x = 173,220,898,420.80
  5. Step 5: Solve for x
    x = 173,220,898,420.80/475,788
  6. Step 6: Final answer
    x = 364,071.60

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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.