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Finding the Fourth Proportional to 296,587.56, 409,285.76 and 160,620.40

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Solution

The fourth proportional to 296,587.56, 409,285.76 and 160,620.40 is: 221,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,587.56 : 409,285.76 = 160,620.40 : x
  2. Step 2: Convert to fraction form
    296,587.56/409,285.76 = 160,620.40/x
  3. Step 3: Cross multiply
    296,587.56x = 409,285.76 × 160,620.40
  4. Step 4: Simplify right side
    296,587.56x = 65,739,642,485.50
  5. Step 5: Solve for x
    x = 65,739,642,485.50/296,587.56
  6. Step 6: Final answer
    x = 221,653.40

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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.