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Finding the Fourth Proportional to 462,952.40, 638,871.24 and 261,749.20

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Solution

The fourth proportional to 462,952.40, 638,871.24 and 261,749.20 is: 361,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,952.40 : 638,871.24 = 261,749.20 : x
  2. Step 2: Convert to fraction form
    462,952.40/638,871.24 = 261,749.20/x
  3. Step 3: Cross multiply
    462,952.40x = 638,871.24 × 261,749.20
  4. Step 4: Simplify right side
    462,952.40x = 167,224,035,973.01
  5. Step 5: Solve for x
    x = 167,224,035,973.01/462,952.40
  6. Step 6: Final answer
    x = 361,212.16

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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.