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Finding the Fourth Proportional to 660,352,542.40, 990,528,813.60 and 442,674,308.80

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Solution

The fourth proportional to 660,352,542.40, 990,528,813.60 and 442,674,308.80 is: 664,011,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,352,542.40 : 990,528,813.60 = 442,674,308.80 : x
  2. Step 2: Convert to fraction form
    660,352,542.40/990,528,813.60 = 442,674,308.80/x
  3. Step 3: Cross multiply
    660,352,542.40x = 990,528,813.60 × 442,674,308.80
  4. Step 4: Simplify right side
    660,352,542.40x = 438,481,657,906,864,064
  5. Step 5: Solve for x
    x = 438,481,657,906,864,064/660,352,542.40
  6. Step 6: Final answer
    x = 664,011,463.20

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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.