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Finding the Fourth Proportional to 288,261.80, 432,394.14 and 130,305.32

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Solution

The fourth proportional to 288,261.80, 432,394.14 and 130,305.32 is: 195,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,261.80 : 432,394.14 = 130,305.32 : x
  2. Step 2: Convert to fraction form
    288,261.80/432,394.14 = 130,305.32/x
  3. Step 3: Cross multiply
    288,261.80x = 432,394.14 × 130,305.32
  4. Step 4: Simplify right side
    288,261.80x = 56,343,256,778.82
  5. Step 5: Solve for x
    x = 56,343,256,778.82/288,261.80
  6. Step 6: Final answer
    x = 195,458.63

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1.5x scale

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.