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Finding the Fourth Proportional to 465,457.79, 642,129.30 and 293,271.23

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Solution

The fourth proportional to 465,457.79, 642,129.30 and 293,271.23 is: 404,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,457.79 : 642,129.30 = 293,271.23 : x
  2. Step 2: Convert to fraction form
    465,457.79/642,129.30 = 293,271.23/x
  3. Step 3: Cross multiply
    465,457.79x = 642,129.30 × 293,271.23
  4. Step 4: Simplify right side
    465,457.79x = 188,318,049,630.04
  5. Step 5: Solve for x
    x = 188,318,049,630.04/465,457.79
  6. Step 6: Final answer
    x = 404,586.74

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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.