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Finding the Fourth Proportional to 266,118,532.60, 399,177,798.90 and 194,454,916.60

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Solution

The fourth proportional to 266,118,532.60, 399,177,798.90 and 194,454,916.60 is: 291,682,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,118,532.60 : 399,177,798.90 = 194,454,916.60 : x
  2. Step 2: Convert to fraction form
    266,118,532.60/399,177,798.90 = 194,454,916.60/x
  3. Step 3: Cross multiply
    266,118,532.60x = 399,177,798.90 × 194,454,916.60
  4. Step 4: Simplify right side
    266,118,532.60x = 77,622,085,593,671,072
  5. Step 5: Solve for x
    x = 77,622,085,593,671,072/266,118,532.60
  6. Step 6: Final answer
    x = 291,682,374.90

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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.