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Finding the Fourth Proportional to 519,996.32, 716,901 and 412,920.80

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Solution

The fourth proportional to 519,996.32, 716,901 and 412,920.80 is: 569,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,996.32 : 716,901 = 412,920.80 : x
  2. Step 2: Convert to fraction form
    519,996.32/716,901 = 412,920.80/x
  3. Step 3: Cross multiply
    519,996.32x = 716,901 × 412,920.80
  4. Step 4: Simplify right side
    519,996.32x = 296,023,334,440.80
  5. Step 5: Solve for x
    x = 296,023,334,440.80/519,996.32
  6. Step 6: Final answer
    x = 569,279.67

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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.