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Finding the Fourth Proportional to 289,085.40, 398,927.82 and 160,029.48

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Solution

The fourth proportional to 289,085.40, 398,927.82 and 160,029.48 is: 220,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,085.40 : 398,927.82 = 160,029.48 : x
  2. Step 2: Convert to fraction form
    289,085.40/398,927.82 = 160,029.48/x
  3. Step 3: Cross multiply
    289,085.40x = 398,927.82 × 160,029.48
  4. Step 4: Simplify right side
    289,085.40x = 63,840,211,592.13
  5. Step 5: Solve for x
    x = 63,840,211,592.13/289,085.40
  6. Step 6: Final answer
    x = 220,835.13

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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.