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Finding the Fourth Proportional to 306,074.20, 459,111.30 and 166,106.20

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Solution

The fourth proportional to 306,074.20, 459,111.30 and 166,106.20 is: 249,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,074.20 : 459,111.30 = 166,106.20 : x
  2. Step 2: Convert to fraction form
    306,074.20/459,111.30 = 166,106.20/x
  3. Step 3: Cross multiply
    306,074.20x = 459,111.30 × 166,106.20
  4. Step 4: Simplify right side
    306,074.20x = 76,261,233,420.06
  5. Step 5: Solve for x
    x = 76,261,233,420.06/306,074.20
  6. Step 6: Final answer
    x = 249,159.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.