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Finding the Fourth Proportional to 286,384.80, 428,702.40 and 223,399.20

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Solution

The fourth proportional to 286,384.80, 428,702.40 and 223,399.20 is: 334,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,384.80 : 428,702.40 = 223,399.20 : x
  2. Step 2: Convert to fraction form
    286,384.80/428,702.40 = 223,399.20/x
  3. Step 3: Cross multiply
    286,384.80x = 428,702.40 × 223,399.20
  4. Step 4: Simplify right side
    286,384.80x = 95,771,773,198.08
  5. Step 5: Solve for x
    x = 95,771,773,198.08/286,384.80
  6. Step 6: Final answer
    x = 334,416.40

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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.