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Finding the Fourth Proportional to 286,802.19, 430,096.39 and 84,344.11

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Solution

The fourth proportional to 286,802.19, 430,096.39 and 84,344.11 is: 126,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,802.19 : 430,096.39 = 84,344.11 : x
  2. Step 2: Convert to fraction form
    286,802.19/430,096.39 = 84,344.11/x
  3. Step 3: Cross multiply
    286,802.19x = 430,096.39 × 84,344.11
  4. Step 4: Simplify right side
    286,802.19x = 36,276,095,942.66
  5. Step 5: Solve for x
    x = 36,276,095,942.66/286,802.19
  6. Step 6: Final answer
    x = 126,484.72

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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.