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Finding the Fourth Proportional to 286,924.75, 430,359.42 and 87,246.85

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Solution

The fourth proportional to 286,924.75, 430,359.42 and 87,246.85 is: 130,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,924.75 : 430,359.42 = 87,246.85 : x
  2. Step 2: Convert to fraction form
    286,924.75/430,359.42 = 87,246.85/x
  3. Step 3: Cross multiply
    286,924.75x = 430,359.42 × 87,246.85
  4. Step 4: Simplify right side
    286,924.75x = 37,547,503,762.83
  5. Step 5: Solve for x
    x = 37,547,503,762.83/286,924.75
  6. Step 6: Final answer
    x = 130,861.85

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1.5x scale

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.