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Finding the Fourth Proportional to 288,276.76, 397,818.30 and 160,953.40

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Solution

The fourth proportional to 288,276.76, 397,818.30 and 160,953.40 is: 222,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,276.76 : 397,818.30 = 160,953.40 : x
  2. Step 2: Convert to fraction form
    288,276.76/397,818.30 = 160,953.40/x
  3. Step 3: Cross multiply
    288,276.76x = 397,818.30 × 160,953.40
  4. Step 4: Simplify right side
    288,276.76x = 64,030,207,967.22
  5. Step 5: Solve for x
    x = 64,030,207,967.22/288,276.76
  6. Step 6: Final answer
    x = 222,113.67

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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.