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Finding the Fourth Proportional to 656,759.64, 906,307.74 and 385,008.53

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Solution

The fourth proportional to 656,759.64, 906,307.74 and 385,008.53 is: 531,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,759.64 : 906,307.74 = 385,008.53 : x
  2. Step 2: Convert to fraction form
    656,759.64/906,307.74 = 385,008.53/x
  3. Step 3: Cross multiply
    656,759.64x = 906,307.74 × 385,008.53
  4. Step 4: Simplify right side
    656,759.64x = 348,936,207,872.81
  5. Step 5: Solve for x
    x = 348,936,207,872.81/656,759.64
  6. Step 6: Final answer
    x = 531,299.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.