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Finding the Fourth Proportional to 553,356,542.64, 830,180,185.92 and 198,866,616.20

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Solution

The fourth proportional to 553,356,542.64, 830,180,185.92 and 198,866,616.20 is: 298,352,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,356,542.64 : 830,180,185.92 = 198,866,616.20 : x
  2. Step 2: Convert to fraction form
    553,356,542.64/830,180,185.92 = 198,866,616.20/x
  3. Step 3: Cross multiply
    553,356,542.64x = 830,180,185.92 × 198,866,616.20
  4. Step 4: Simplify right side
    553,356,542.64x = 165,095,124,406,046,368
  5. Step 5: Solve for x
    x = 165,095,124,406,046,368/553,356,542.64
  6. Step 6: Final answer
    x = 298,352,168.42

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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.