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Finding the Fourth Proportional to 289,645.44, 434,702.88 and 149,444.16

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Solution

The fourth proportional to 289,645.44, 434,702.88 and 149,444.16 is: 224,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,645.44 : 434,702.88 = 149,444.16 : x
  2. Step 2: Convert to fraction form
    289,645.44/434,702.88 = 149,444.16/x
  3. Step 3: Cross multiply
    289,645.44x = 434,702.88 × 149,444.16
  4. Step 4: Simplify right side
    289,645.44x = 64,963,806,751.18
  5. Step 5: Solve for x
    x = 64,963,806,751.18/289,645.44
  6. Step 6: Final answer
    x = 224,287.35

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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.