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Finding the Fourth Proportional to 288,014.32, 397,479.72 and 160,714.72

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Solution

The fourth proportional to 288,014.32, 397,479.72 and 160,714.72 is: 221,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,014.32 : 397,479.72 = 160,714.72 : x
  2. Step 2: Convert to fraction form
    288,014.32/397,479.72 = 160,714.72/x
  3. Step 3: Cross multiply
    288,014.32x = 397,479.72 × 160,714.72
  4. Step 4: Simplify right side
    288,014.32x = 63,880,841,905.48
  5. Step 5: Solve for x
    x = 63,880,841,905.48/288,014.32
  6. Step 6: Final answer
    x = 221,797.45

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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.