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Finding the Fourth Proportional to 286,486.69, 431,443.93 and 260,949.16

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Solution

The fourth proportional to 286,486.69, 431,443.93 and 260,949.16 is: 392,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,486.69 : 431,443.93 = 260,949.16 : x
  2. Step 2: Convert to fraction form
    286,486.69/431,443.93 = 260,949.16/x
  3. Step 3: Cross multiply
    286,486.69x = 431,443.93 × 260,949.16
  4. Step 4: Simplify right side
    286,486.69x = 112,584,931,120.60
  5. Step 5: Solve for x
    x = 112,584,931,120.60/286,486.69
  6. Step 6: Final answer
    x = 392,984.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.