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Finding the Fourth Proportional to 313,674.58, 432,870.20 and 170,435.20

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Solution

The fourth proportional to 313,674.58, 432,870.20 and 170,435.20 is: 235,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,674.58 : 432,870.20 = 170,435.20 : x
  2. Step 2: Convert to fraction form
    313,674.58/432,870.20 = 170,435.20/x
  3. Step 3: Cross multiply
    313,674.58x = 432,870.20 × 170,435.20
  4. Step 4: Simplify right side
    313,674.58x = 73,776,319,111.04
  5. Step 5: Solve for x
    x = 73,776,319,111.04/313,674.58
  6. Step 6: Final answer
    x = 235,200.18

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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.