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Finding the Fourth Proportional to 506,449.28, 698,846.66 and 302,471.89

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Solution

The fourth proportional to 506,449.28, 698,846.66 and 302,471.89 is: 417,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,449.28 : 698,846.66 = 302,471.89 : x
  2. Step 2: Convert to fraction form
    506,449.28/698,846.66 = 302,471.89/x
  3. Step 3: Cross multiply
    506,449.28x = 698,846.66 × 302,471.89
  4. Step 4: Simplify right side
    506,449.28x = 211,381,470,070.39
  5. Step 5: Solve for x
    x = 211,381,470,070.39/506,449.28
  6. Step 6: Final answer
    x = 417,379.35

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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.