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Finding the Fourth Proportional to 266,424,005.70, 399,636,008.55 and 254,944,880.10

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Solution

The fourth proportional to 266,424,005.70, 399,636,008.55 and 254,944,880.10 is: 382,417,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,424,005.70 : 399,636,008.55 = 254,944,880.10 : x
  2. Step 2: Convert to fraction form
    266,424,005.70/399,636,008.55 = 254,944,880.10/x
  3. Step 3: Cross multiply
    266,424,005.70x = 399,636,008.55 × 254,944,880.10
  4. Step 4: Simplify right side
    266,424,005.70x = 101,885,154,283,422,320
  5. Step 5: Solve for x
    x = 101,885,154,283,422,320/266,424,005.70
  6. Step 6: Final answer
    x = 382,417,320.15

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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.