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Finding the Fourth Proportional to 520,096.40, 778,978.20 and 520,096.40

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Solution

The fourth proportional to 520,096.40, 778,978.20 and 520,096.40 is: 778,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.40 : 778,978.20 = 520,096.40 : x
  2. Step 2: Convert to fraction form
    520,096.40/778,978.20 = 520,096.40/x
  3. Step 3: Cross multiply
    520,096.40x = 778,978.20 × 520,096.40
  4. Step 4: Simplify right side
    520,096.40x = 405,143,757,498.48
  5. Step 5: Solve for x
    x = 405,143,757,498.48/520,096.40
  6. Step 6: Final answer
    x = 778,978.20

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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.