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Finding the Fourth Proportional to 647,254,855.30, 971,008,254.15 and 187,208,032.90

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Solution

The fourth proportional to 647,254,855.30, 971,008,254.15 and 187,208,032.90 is: 280,848,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,254,855.30 : 971,008,254.15 = 187,208,032.90 : x
  2. Step 2: Convert to fraction form
    647,254,855.30/971,008,254.15 = 187,208,032.90/x
  3. Step 3: Cross multiply
    647,254,855.30x = 971,008,254.15 × 187,208,032.90
  4. Step 4: Simplify right side
    647,254,855.30x = 181,780,545,189,084,768
  5. Step 5: Solve for x
    x = 181,780,545,189,084,768/647,254,855.30
  6. Step 6: Final answer
    x = 280,848,484.49

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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.