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Finding the Fourth Proportional to 430,907.80, 646,361.70 and 218,331.40

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Solution

The fourth proportional to 430,907.80, 646,361.70 and 218,331.40 is: 327,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,907.80 : 646,361.70 = 218,331.40 : x
  2. Step 2: Convert to fraction form
    430,907.80/646,361.70 = 218,331.40/x
  3. Step 3: Cross multiply
    430,907.80x = 646,361.70 × 218,331.40
  4. Step 4: Simplify right side
    430,907.80x = 141,121,054,867.38
  5. Step 5: Solve for x
    x = 141,121,054,867.38/430,907.80
  6. Step 6: Final answer
    x = 327,497.10

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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.