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Finding the Fourth Proportional to 286,706.46, 430,111.53 and 118,133.01

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Solution

The fourth proportional to 286,706.46, 430,111.53 and 118,133.01 is: 177,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,706.46 : 430,111.53 = 118,133.01 : x
  2. Step 2: Convert to fraction form
    286,706.46/430,111.53 = 118,133.01/x
  3. Step 3: Cross multiply
    286,706.46x = 430,111.53 × 118,133.01
  4. Step 4: Simplify right side
    286,706.46x = 50,810,369,674.61
  5. Step 5: Solve for x
    x = 50,810,369,674.61/286,706.46
  6. Step 6: Final answer
    x = 177,220.87

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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.