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Finding the Fourth Proportional to 647,439,994.60, 971,159,991.90 and 450,169,095.40

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Solution

The fourth proportional to 647,439,994.60, 971,159,991.90 and 450,169,095.40 is: 675,253,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,439,994.60 : 971,159,991.90 = 450,169,095.40 : x
  2. Step 2: Convert to fraction form
    647,439,994.60/971,159,991.90 = 450,169,095.40/x
  3. Step 3: Cross multiply
    647,439,994.60x = 971,159,991.90 × 450,169,095.40
  4. Step 4: Simplify right side
    647,439,994.60x = 437,186,215,042,294,272
  5. Step 5: Solve for x
    x = 437,186,215,042,294,272/647,439,994.60
  6. Step 6: Final answer
    x = 675,253,643.10

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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.