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Finding the Fourth Proportional to 280,085.52, 420,315.12 and 145,273.84

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Solution

The fourth proportional to 280,085.52, 420,315.12 and 145,273.84 is: 218,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,085.52 : 420,315.12 = 145,273.84 : x
  2. Step 2: Convert to fraction form
    280,085.52/420,315.12 = 145,273.84/x
  3. Step 3: Cross multiply
    280,085.52x = 420,315.12 × 145,273.84
  4. Step 4: Simplify right side
    280,085.52x = 61,060,791,492.46
  5. Step 5: Solve for x
    x = 61,060,791,492.46/280,085.52
  6. Step 6: Final answer
    x = 218,007.67

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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.