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Finding the Fourth Proportional to 318,909,872.80, 478,364,809.20 and 203,551,746.40

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Solution

The fourth proportional to 318,909,872.80, 478,364,809.20 and 203,551,746.40 is: 305,327,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,909,872.80 : 478,364,809.20 = 203,551,746.40 : x
  2. Step 2: Convert to fraction form
    318,909,872.80/478,364,809.20 = 203,551,746.40/x
  3. Step 3: Cross multiply
    318,909,872.80x = 478,364,809.20 × 203,551,746.40
  4. Step 4: Simplify right side
    318,909,872.80x = 97,371,992,328,962,784
  5. Step 5: Solve for x
    x = 97,371,992,328,962,784/318,909,872.80
  6. Step 6: Final answer
    x = 305,327,619.60

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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.