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Finding the Fourth Proportional to 493,389.56, 680,894.10 and 302,366.05

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Solution

The fourth proportional to 493,389.56, 680,894.10 and 302,366.05 is: 417,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,389.56 : 680,894.10 = 302,366.05 : x
  2. Step 2: Convert to fraction form
    493,389.56/680,894.10 = 302,366.05/x
  3. Step 3: Cross multiply
    493,389.56x = 680,894.10 × 302,366.05
  4. Step 4: Simplify right side
    493,389.56x = 205,879,257,783.07
  5. Step 5: Solve for x
    x = 205,879,257,783.07/493,389.56
  6. Step 6: Final answer
    x = 417,275.26

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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.