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Finding the Fourth Proportional to 478,810.30, 718,215.45 and 419,712.70

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Solution

The fourth proportional to 478,810.30, 718,215.45 and 419,712.70 is: 629,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,810.30 : 718,215.45 = 419,712.70 : x
  2. Step 2: Convert to fraction form
    478,810.30/718,215.45 = 419,712.70/x
  3. Step 3: Cross multiply
    478,810.30x = 718,215.45 × 419,712.70
  4. Step 4: Simplify right side
    478,810.30x = 301,444,145,701.22
  5. Step 5: Solve for x
    x = 301,444,145,701.22/478,810.30
  6. Step 6: Final answer
    x = 629,569.05

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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.