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Finding the Fourth Proportional to 286,410.35, 429,636.29 and 86,746.31

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Solution

The fourth proportional to 286,410.35, 429,636.29 and 86,746.31 is: 130,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,410.35 : 429,636.29 = 86,746.31 : x
  2. Step 2: Convert to fraction form
    286,410.35/429,636.29 = 86,746.31/x
  3. Step 3: Cross multiply
    286,410.35x = 429,636.29 × 86,746.31
  4. Step 4: Simplify right side
    286,410.35x = 37,269,361,828.81
  5. Step 5: Solve for x
    x = 37,269,361,828.81/286,410.35
  6. Step 6: Final answer
    x = 130,125.75

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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.