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Finding the Fourth Proportional to 656,903.72, 906,527.84 and 384,917.47

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Solution

The fourth proportional to 656,903.72, 906,527.84 and 384,917.47 is: 531,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,903.72 : 906,527.84 = 384,917.47 : x
  2. Step 2: Convert to fraction form
    656,903.72/906,527.84 = 384,917.47/x
  3. Step 3: Cross multiply
    656,903.72x = 906,527.84 × 384,917.47
  4. Step 4: Simplify right side
    656,903.72x = 348,938,398,466.46
  5. Step 5: Solve for x
    x = 348,938,398,466.46/656,903.72
  6. Step 6: Final answer
    x = 531,186.51

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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.