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Finding the Fourth Proportional to 289,071.30, 433,357.78 and 111,702.77

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Solution

The fourth proportional to 289,071.30, 433,357.78 and 111,702.77 is: 167,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,071.30 : 433,357.78 = 111,702.77 : x
  2. Step 2: Convert to fraction form
    289,071.30/433,357.78 = 111,702.77/x
  3. Step 3: Cross multiply
    289,071.30x = 433,357.78 × 111,702.77
  4. Step 4: Simplify right side
    289,071.30x = 48,407,264,427.05
  5. Step 5: Solve for x
    x = 48,407,264,427.05/289,071.30
  6. Step 6: Final answer
    x = 167,457.87

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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.