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Finding the Fourth Proportional to 430,229.16, 645,329.16 and 163,980

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Solution

The fourth proportional to 430,229.16, 645,329.16 and 163,980 is: 245,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,229.16 : 645,329.16 = 163,980 : x
  2. Step 2: Convert to fraction form
    430,229.16/645,329.16 = 163,980/x
  3. Step 3: Cross multiply
    430,229.16x = 645,329.16 × 163,980
  4. Step 4: Simplify right side
    430,229.16x = 105,821,075,656.80
  5. Step 5: Solve for x
    x = 105,821,075,656.80/430,229.16
  6. Step 6: Final answer
    x = 245,964.44

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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.