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Finding the Fourth Proportional to 402,906.36, 604,366.50 and 136,673.76

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Solution

The fourth proportional to 402,906.36, 604,366.50 and 136,673.76 is: 205,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,906.36 : 604,366.50 = 136,673.76 : x
  2. Step 2: Convert to fraction form
    402,906.36/604,366.50 = 136,673.76/x
  3. Step 3: Cross multiply
    402,906.36x = 604,366.50 × 136,673.76
  4. Step 4: Simplify right side
    402,906.36x = 82,601,041,973.04
  5. Step 5: Solve for x
    x = 82,601,041,973.04/402,906.36
  6. Step 6: Final answer
    x = 205,013.00

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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.