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Finding the Fourth Proportional to 312,894.23, 431,573.72 and 302,477.96

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Solution

The fourth proportional to 312,894.23, 431,573.72 and 302,477.96 is: 417,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,894.23 : 431,573.72 = 302,477.96 : x
  2. Step 2: Convert to fraction form
    312,894.23/431,573.72 = 302,477.96/x
  3. Step 3: Cross multiply
    312,894.23x = 431,573.72 × 302,477.96
  4. Step 4: Simplify right side
    312,894.23x = 130,541,534,744.95
  5. Step 5: Solve for x
    x = 130,541,534,744.95/312,894.23
  6. Step 6: Final answer
    x = 417,206.60

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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.