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Finding the Fourth Proportional to 286,981.76, 430,474.80 and 99,992.96

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Solution

The fourth proportional to 286,981.76, 430,474.80 and 99,992.96 is: 149,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,981.76 : 430,474.80 = 99,992.96 : x
  2. Step 2: Convert to fraction form
    286,981.76/430,474.80 = 99,992.96/x
  3. Step 3: Cross multiply
    286,981.76x = 430,474.80 × 99,992.96
  4. Step 4: Simplify right side
    286,981.76x = 43,044,449,457.41
  5. Step 5: Solve for x
    x = 43,044,449,457.41/286,981.76
  6. Step 6: Final answer
    x = 149,990.19

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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.