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Finding the Fourth Proportional to 539,136,651.60, 808,704,977.40 and 431,641,227.60

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Solution

The fourth proportional to 539,136,651.60, 808,704,977.40 and 431,641,227.60 is: 647,461,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,136,651.60 : 808,704,977.40 = 431,641,227.60 : x
  2. Step 2: Convert to fraction form
    539,136,651.60/808,704,977.40 = 431,641,227.60/x
  3. Step 3: Cross multiply
    539,136,651.60x = 808,704,977.40 × 431,641,227.60
  4. Step 4: Simplify right side
    539,136,651.60x = 349,070,409,211,166,272
  5. Step 5: Solve for x
    x = 349,070,409,211,166,272/539,136,651.60
  6. Step 6: Final answer
    x = 647,461,841.40

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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.