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Finding the Fourth Proportional to 289,637.44, 434,690.88 and 149,436.16

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Solution

The fourth proportional to 289,637.44, 434,690.88 and 149,436.16 is: 224,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,637.44 : 434,690.88 = 149,436.16 : x
  2. Step 2: Convert to fraction form
    289,637.44/434,690.88 = 149,436.16/x
  3. Step 3: Cross multiply
    289,637.44x = 434,690.88 × 149,436.16
  4. Step 4: Simplify right side
    289,637.44x = 64,958,535,894.22
  5. Step 5: Solve for x
    x = 64,958,535,894.22/289,637.44
  6. Step 6: Final answer
    x = 224,275.34

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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.