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Finding the Fourth Proportional to 340,063.20, 510,094.80 and 319,327.20

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Solution

The fourth proportional to 340,063.20, 510,094.80 and 319,327.20 is: 478,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,063.20 : 510,094.80 = 319,327.20 : x
  2. Step 2: Convert to fraction form
    340,063.20/510,094.80 = 319,327.20/x
  3. Step 3: Cross multiply
    340,063.20x = 510,094.80 × 319,327.20
  4. Step 4: Simplify right side
    340,063.20x = 162,887,144,218.56
  5. Step 5: Solve for x
    x = 162,887,144,218.56/340,063.20
  6. Step 6: Final answer
    x = 478,990.80

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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.