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Finding the Fourth Proportional to 421,460.24, 631,861.70 and 286,167.56

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Solution

The fourth proportional to 421,460.24, 631,861.70 and 286,167.56 is: 429,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,460.24 : 631,861.70 = 286,167.56 : x
  2. Step 2: Convert to fraction form
    421,460.24/631,861.70 = 286,167.56/x
  3. Step 3: Cross multiply
    421,460.24x = 631,861.70 × 286,167.56
  4. Step 4: Simplify right side
    421,460.24x = 180,818,316,356.31
  5. Step 5: Solve for x
    x = 180,818,316,356.31/421,460.24
  6. Step 6: Final answer
    x = 429,028.18

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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.