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Finding the Fourth Proportional to 502,849.89, 693,957.78 and 311,924.79

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Solution

The fourth proportional to 502,849.89, 693,957.78 and 311,924.79 is: 430,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,849.89 : 693,957.78 = 311,924.79 : x
  2. Step 2: Convert to fraction form
    502,849.89/693,957.78 = 311,924.79/x
  3. Step 3: Cross multiply
    502,849.89x = 693,957.78 × 311,924.79
  4. Step 4: Simplify right side
    502,849.89x = 216,462,634,795.37
  5. Step 5: Solve for x
    x = 216,462,634,795.37/502,849.89
  6. Step 6: Final answer
    x = 430,471.68

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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.