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Finding the Fourth Proportional to 312,343.98, 430,858.80 and 197,587.32

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Solution

The fourth proportional to 312,343.98, 430,858.80 and 197,587.32 is: 272,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,343.98 : 430,858.80 = 197,587.32 : x
  2. Step 2: Convert to fraction form
    312,343.98/430,858.80 = 197,587.32/x
  3. Step 3: Cross multiply
    312,343.98x = 430,858.80 × 197,587.32
  4. Step 4: Simplify right side
    312,343.98x = 85,132,235,590.42
  5. Step 5: Solve for x
    x = 85,132,235,590.42/312,343.98
  6. Step 6: Final answer
    x = 272,559.23

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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.