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Finding the Fourth Proportional to 647,260,461.80, 971,016,663.90 and 187,213,639.40

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Solution

The fourth proportional to 647,260,461.80, 971,016,663.90 and 187,213,639.40 is: 280,856,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,260,461.80 : 971,016,663.90 = 187,213,639.40 : x
  2. Step 2: Convert to fraction form
    647,260,461.80/971,016,663.90 = 187,213,639.40/x
  3. Step 3: Cross multiply
    647,260,461.80x = 971,016,663.90 × 187,213,639.40
  4. Step 4: Simplify right side
    647,260,461.80x = 181,787,563,566,765,600
  5. Step 5: Solve for x
    x = 181,787,563,566,765,600/647,260,461.80
  6. Step 6: Final answer
    x = 280,856,895.01

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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.