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Finding the Fourth Proportional to 631,575.84, 872,156.58 and 405,615

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Solution

The fourth proportional to 631,575.84, 872,156.58 and 405,615 is: 560,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,575.84 : 872,156.58 = 405,615 : x
  2. Step 2: Convert to fraction form
    631,575.84/872,156.58 = 405,615/x
  3. Step 3: Cross multiply
    631,575.84x = 872,156.58 × 405,615
  4. Step 4: Simplify right side
    631,575.84x = 353,759,791,196.70
  5. Step 5: Solve for x
    x = 353,759,791,196.70/631,575.84
  6. Step 6: Final answer
    x = 560,122.43

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1.5x scale

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.