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Finding the Fourth Proportional to 516,118.47, 712,299.32 and 312,281.80

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Solution

The fourth proportional to 516,118.47, 712,299.32 and 312,281.80 is: 430,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,118.47 : 712,299.32 = 312,281.80 : x
  2. Step 2: Convert to fraction form
    516,118.47/712,299.32 = 312,281.80/x
  3. Step 3: Cross multiply
    516,118.47x = 712,299.32 × 312,281.80
  4. Step 4: Simplify right side
    516,118.47x = 222,438,113,788.38
  5. Step 5: Solve for x
    x = 222,438,113,788.38/516,118.47
  6. Step 6: Final answer
    x = 430,982.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.