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Finding the Fourth Proportional to 516,427.80, 712,470.78 and 380,782.77

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Solution

The fourth proportional to 516,427.80, 712,470.78 and 380,782.77 is: 525,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,427.80 : 712,470.78 = 380,782.77 : x
  2. Step 2: Convert to fraction form
    516,427.80/712,470.78 = 380,782.77/x
  3. Step 3: Cross multiply
    516,427.80x = 712,470.78 × 380,782.77
  4. Step 4: Simplify right side
    516,427.80x = 271,296,597,152.46
  5. Step 5: Solve for x
    x = 271,296,597,152.46/516,427.80
  6. Step 6: Final answer
    x = 525,333.06

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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.