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Finding the Fourth Proportional to 310,055.80, 427,762.20 and 195,303.64

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Solution

The fourth proportional to 310,055.80, 427,762.20 and 195,303.64 is: 269,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,055.80 : 427,762.20 = 195,303.64 : x
  2. Step 2: Convert to fraction form
    310,055.80/427,762.20 = 195,303.64/x
  3. Step 3: Cross multiply
    310,055.80x = 427,762.20 × 195,303.64
  4. Step 4: Simplify right side
    310,055.80x = 83,543,514,714.41
  5. Step 5: Solve for x
    x = 83,543,514,714.41/310,055.80
  6. Step 6: Final answer
    x = 269,446.71

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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.