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Finding the Fourth Proportional to 442,686.63, 610,889.50 and 261,457.23

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Solution

The fourth proportional to 442,686.63, 610,889.50 and 261,457.23 is: 360,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,686.63 : 610,889.50 = 261,457.23 : x
  2. Step 2: Convert to fraction form
    442,686.63/610,889.50 = 261,457.23/x
  3. Step 3: Cross multiply
    442,686.63x = 610,889.50 × 261,457.23
  4. Step 4: Simplify right side
    442,686.63x = 159,721,476,506.09
  5. Step 5: Solve for x
    x = 159,721,476,506.09/442,686.63
  6. Step 6: Final answer
    x = 360,800.32

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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.