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Finding the Fourth Proportional to 312,572.99, 469,431.48 and 286,222.34

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Solution

The fourth proportional to 312,572.99, 469,431.48 and 286,222.34 is: 429,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,572.99 : 469,431.48 = 286,222.34 : x
  2. Step 2: Convert to fraction form
    312,572.99/469,431.48 = 286,222.34/x
  3. Step 3: Cross multiply
    312,572.99x = 469,431.48 × 286,222.34
  4. Step 4: Simplify right side
    312,572.99x = 134,361,776,675.26
  5. Step 5: Solve for x
    x = 134,361,776,675.26/312,572.99
  6. Step 6: Final answer
    x = 429,857.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.