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Finding the Fourth Proportional to 553,568,542.40, 830,352,813.60 and 446,073,118.40

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Solution

The fourth proportional to 553,568,542.40, 830,352,813.60 and 446,073,118.40 is: 669,109,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,568,542.40 : 830,352,813.60 = 446,073,118.40 : x
  2. Step 2: Convert to fraction form
    553,568,542.40/830,352,813.60 = 446,073,118.40/x
  3. Step 3: Cross multiply
    553,568,542.40x = 830,352,813.60 × 446,073,118.40
  4. Step 4: Simplify right side
    553,568,542.40x = 370,398,068,934,765,952
  5. Step 5: Solve for x
    x = 370,398,068,934,765,952/553,568,542.40
  6. Step 6: Final answer
    x = 669,109,677.60

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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.