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Finding the Fourth Proportional to 520,409.90, 780,040.95 and 340,420.61

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Solution

The fourth proportional to 520,409.90, 780,040.95 and 340,420.61 is: 510,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,409.90 : 780,040.95 = 340,420.61 : x
  2. Step 2: Convert to fraction form
    520,409.90/780,040.95 = 340,420.61/x
  3. Step 3: Cross multiply
    520,409.90x = 780,040.95 × 340,420.61
  4. Step 4: Simplify right side
    520,409.90x = 265,542,012,123.78
  5. Step 5: Solve for x
    x = 265,542,012,123.78/520,409.90
  6. Step 6: Final answer
    x = 510,255.50

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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.