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Finding the Fourth Proportional to 456,047.48, 684,072.84 and 140,502.80

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Solution

The fourth proportional to 456,047.48, 684,072.84 and 140,502.80 is: 210,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,047.48 : 684,072.84 = 140,502.80 : x
  2. Step 2: Convert to fraction form
    456,047.48/684,072.84 = 140,502.80/x
  3. Step 3: Cross multiply
    456,047.48x = 684,072.84 × 140,502.80
  4. Step 4: Simplify right side
    456,047.48x = 96,114,149,423.95
  5. Step 5: Solve for x
    x = 96,114,149,423.95/456,047.48
  6. Step 6: Final answer
    x = 210,754.70

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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.