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Finding the Fourth Proportional to 402,941,611.20, 604,412,416.80 and 322,320,043.20

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Solution

The fourth proportional to 402,941,611.20, 604,412,416.80 and 322,320,043.20 is: 483,480,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,941,611.20 : 604,412,416.80 = 322,320,043.20 : x
  2. Step 2: Convert to fraction form
    402,941,611.20/604,412,416.80 = 322,320,043.20/x
  3. Step 3: Cross multiply
    402,941,611.20x = 604,412,416.80 × 322,320,043.20
  4. Step 4: Simplify right side
    402,941,611.20x = 194,814,236,293,592,384
  5. Step 5: Solve for x
    x = 194,814,236,293,592,384/402,941,611.20
  6. Step 6: Final answer
    x = 483,480,064.80

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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.