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Finding the Fourth Proportional to 286,718.63, 430,129.85 and 118,145.21

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Solution

The fourth proportional to 286,718.63, 430,129.85 and 118,145.21 is: 177,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,718.63 : 430,129.85 = 118,145.21 : x
  2. Step 2: Convert to fraction form
    286,718.63/430,129.85 = 118,145.21/x
  3. Step 3: Cross multiply
    286,718.63x = 430,129.85 × 118,145.21
  4. Step 4: Simplify right side
    286,718.63x = 50,817,778,714.14
  5. Step 5: Solve for x
    x = 50,817,778,714.14/286,718.63
  6. Step 6: Final answer
    x = 177,239.20

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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.