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Finding the Fourth Proportional to 281,368.74, 388,311.06 and 160,482.30

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Solution

The fourth proportional to 281,368.74, 388,311.06 and 160,482.30 is: 221,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,368.74 : 388,311.06 = 160,482.30 : x
  2. Step 2: Convert to fraction form
    281,368.74/388,311.06 = 160,482.30/x
  3. Step 3: Cross multiply
    281,368.74x = 388,311.06 × 160,482.30
  4. Step 4: Simplify right side
    281,368.74x = 62,317,052,024.24
  5. Step 5: Solve for x
    x = 62,317,052,024.24/281,368.74
  6. Step 6: Final answer
    x = 221,478.24

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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.