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Finding the Fourth Proportional to 315,664.80, 435,504.24 and 186,576.24

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Solution

The fourth proportional to 315,664.80, 435,504.24 and 186,576.24 is: 257,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,664.80 : 435,504.24 = 186,576.24 : x
  2. Step 2: Convert to fraction form
    315,664.80/435,504.24 = 186,576.24/x
  3. Step 3: Cross multiply
    315,664.80x = 435,504.24 × 186,576.24
  4. Step 4: Simplify right side
    315,664.80x = 81,254,743,603.26
  5. Step 5: Solve for x
    x = 81,254,743,603.26/315,664.80
  6. Step 6: Final answer
    x = 257,408.31

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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.