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Finding the Fourth Proportional to 286,513.60, 429,619.20 and 96,908.80

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Solution

The fourth proportional to 286,513.60, 429,619.20 and 96,908.80 is: 145,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,513.60 : 429,619.20 = 96,908.80 : x
  2. Step 2: Convert to fraction form
    286,513.60/429,619.20 = 96,908.80/x
  3. Step 3: Cross multiply
    286,513.60x = 429,619.20 × 96,908.80
  4. Step 4: Simplify right side
    286,513.60x = 41,633,881,128.96
  5. Step 5: Solve for x
    x = 41,633,881,128.96/286,513.60
  6. Step 6: Final answer
    x = 145,312.06

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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.