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Finding the Fourth Proportional to 661,265,854.80, 990,765,041.40 and 431,116,472.40

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Solution

The fourth proportional to 661,265,854.80, 990,765,041.40 and 431,116,472.40 is: 645,935,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,265,854.80 : 990,765,041.40 = 431,116,472.40 : x
  2. Step 2: Convert to fraction form
    661,265,854.80/990,765,041.40 = 431,116,472.40/x
  3. Step 3: Cross multiply
    661,265,854.80x = 990,765,041.40 × 431,116,472.40
  4. Step 4: Simplify right side
    661,265,854.80x = 427,135,129,625,607,936
  5. Step 5: Solve for x
    x = 427,135,129,625,607,936/661,265,854.80
  6. Step 6: Final answer
    x = 645,935,559.09

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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.