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Finding the Fourth Proportional to 468,381.60, 646,193.70 and 307,326.06

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Solution

The fourth proportional to 468,381.60, 646,193.70 and 307,326.06 is: 423,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,381.60 : 646,193.70 = 307,326.06 : x
  2. Step 2: Convert to fraction form
    468,381.60/646,193.70 = 307,326.06/x
  3. Step 3: Cross multiply
    468,381.60x = 646,193.70 × 307,326.06
  4. Step 4: Simplify right side
    468,381.60x = 198,592,163,817.82
  5. Step 5: Solve for x
    x = 198,592,163,817.82/468,381.60
  6. Step 6: Final answer
    x = 423,996.51

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1.5x scale

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.