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Finding the Fourth Proportional to 646,407.98, 969,609.32 and 197,127.53

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Solution

The fourth proportional to 646,407.98, 969,609.32 and 197,127.53 is: 295,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,407.98 : 969,609.32 = 197,127.53 : x
  2. Step 2: Convert to fraction form
    646,407.98/969,609.32 = 197,127.53/x
  3. Step 3: Cross multiply
    646,407.98x = 969,609.32 × 197,127.53
  4. Step 4: Simplify right side
    646,407.98x = 191,136,684,482.90
  5. Step 5: Solve for x
    x = 191,136,684,482.90/646,407.98
  6. Step 6: Final answer
    x = 295,690.48

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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.