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Finding the Fourth Proportional to 286,103.87, 429,155.81 and 152,579.60

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Solution

The fourth proportional to 286,103.87, 429,155.81 and 152,579.60 is: 228,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,103.87 : 429,155.81 = 152,579.60 : x
  2. Step 2: Convert to fraction form
    286,103.87/429,155.81 = 152,579.60/x
  3. Step 3: Cross multiply
    286,103.87x = 429,155.81 × 152,579.60
  4. Step 4: Simplify right side
    286,103.87x = 65,480,421,064.58
  5. Step 5: Solve for x
    x = 65,480,421,064.58/286,103.87
  6. Step 6: Final answer
    x = 228,869.40

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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.