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Finding the Fourth Proportional to 513,451.74, 708,477.52 and 298,600.86

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Solution

The fourth proportional to 513,451.74, 708,477.52 and 298,600.86 is: 412,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,451.74 : 708,477.52 = 298,600.86 : x
  2. Step 2: Convert to fraction form
    513,451.74/708,477.52 = 298,600.86/x
  3. Step 3: Cross multiply
    513,451.74x = 708,477.52 × 298,600.86
  4. Step 4: Simplify right side
    513,451.74x = 211,551,996,762.67
  5. Step 5: Solve for x
    x = 211,551,996,762.67/513,451.74
  6. Step 6: Final answer
    x = 412,019.24

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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.