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Finding the Fourth Proportional to 475,752,884.64, 714,329,859.21 and 266,074,378.71

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Solution

The fourth proportional to 475,752,884.64, 714,329,859.21 and 266,074,378.71 is: 399,503,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,752,884.64 : 714,329,859.21 = 266,074,378.71 : x
  2. Step 2: Convert to fraction form
    475,752,884.64/714,329,859.21 = 266,074,378.71/x
  3. Step 3: Cross multiply
    475,752,884.64x = 714,329,859.21 × 266,074,378.71
  4. Step 4: Simplify right side
    475,752,884.64x = 190,064,873,483,302,528
  5. Step 5: Solve for x
    x = 190,064,873,483,302,528/475,752,884.64
  6. Step 6: Final answer
    x = 399,503,354.83

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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.