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Finding the Fourth Proportional to 553,393,902.80, 830,090,854.20 and 398,425,707.20

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Solution

The fourth proportional to 553,393,902.80, 830,090,854.20 and 398,425,707.20 is: 597,638,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,393,902.80 : 830,090,854.20 = 398,425,707.20 : x
  2. Step 2: Convert to fraction form
    553,393,902.80/830,090,854.20 = 398,425,707.20/x
  3. Step 3: Cross multiply
    553,393,902.80x = 830,090,854.20 × 398,425,707.20
  4. Step 4: Simplify right side
    553,393,902.80x = 330,729,535,624,887,104
  5. Step 5: Solve for x
    x = 330,729,535,624,887,104/553,393,902.80
  6. Step 6: Final answer
    x = 597,638,560.80

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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.