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Finding the Fourth Proportional to 313,686.46, 432,886.44 and 170,447

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Solution

The fourth proportional to 313,686.46, 432,886.44 and 170,447 is: 235,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,686.46 : 432,886.44 = 170,447 : x
  2. Step 2: Convert to fraction form
    313,686.46/432,886.44 = 170,447/x
  3. Step 3: Cross multiply
    313,686.46x = 432,886.44 × 170,447
  4. Step 4: Simplify right side
    313,686.46x = 73,784,195,038.68
  5. Step 5: Solve for x
    x = 73,784,195,038.68/313,686.46
  6. Step 6: Final answer
    x = 235,216.38

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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.