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Finding the Fourth Proportional to 536,657.40, 805,013.64 and 137,301.62

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Solution

The fourth proportional to 536,657.40, 805,013.64 and 137,301.62 is: 205,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,657.40 : 805,013.64 = 137,301.62 : x
  2. Step 2: Convert to fraction form
    536,657.40/805,013.64 = 137,301.62/x
  3. Step 3: Cross multiply
    536,657.40x = 805,013.64 × 137,301.62
  4. Step 4: Simplify right side
    536,657.40x = 110,529,672,869.03
  5. Step 5: Solve for x
    x = 110,529,672,869.03/536,657.40
  6. Step 6: Final answer
    x = 205,959.47

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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.