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Finding the Fourth Proportional to 520,023.90, 778,723.65 and 415,047.90

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Solution

The fourth proportional to 520,023.90, 778,723.65 and 415,047.90 is: 621,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,023.90 : 778,723.65 = 415,047.90 : x
  2. Step 2: Convert to fraction form
    520,023.90/778,723.65 = 415,047.90/x
  3. Step 3: Cross multiply
    520,023.90x = 778,723.65 × 415,047.90
  4. Step 4: Simplify right side
    520,023.90x = 323,207,615,612.84
  5. Step 5: Solve for x
    x = 323,207,615,612.84/520,023.90
  6. Step 6: Final answer
    x = 621,524.54

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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.