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Finding the Fourth Proportional to 518,783.60, 715,906.80 and 289,347.84

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Solution

The fourth proportional to 518,783.60, 715,906.80 and 289,347.84 is: 399,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,783.60 : 715,906.80 = 289,347.84 : x
  2. Step 2: Convert to fraction form
    518,783.60/715,906.80 = 289,347.84/x
  3. Step 3: Cross multiply
    518,783.60x = 715,906.80 × 289,347.84
  4. Step 4: Simplify right side
    518,783.60x = 207,146,086,221.31
  5. Step 5: Solve for x
    x = 207,146,086,221.31/518,783.60
  6. Step 6: Final answer
    x = 399,291.89

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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.