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Finding the Fourth Proportional to 604,708.64, 834,324.78 and 389,972

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Solution

The fourth proportional to 604,708.64, 834,324.78 and 389,972 is: 538,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,708.64 : 834,324.78 = 389,972 : x
  2. Step 2: Convert to fraction form
    604,708.64/834,324.78 = 389,972/x
  3. Step 3: Cross multiply
    604,708.64x = 834,324.78 × 389,972
  4. Step 4: Simplify right side
    604,708.64x = 325,363,303,106.16
  5. Step 5: Solve for x
    x = 325,363,303,106.16/604,708.64
  6. Step 6: Final answer
    x = 538,049.70

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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.