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Finding the Fourth Proportional to 509,442.80, 703,038.34 and 280,021.30

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Solution

The fourth proportional to 509,442.80, 703,038.34 and 280,021.30 is: 386,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,442.80 : 703,038.34 = 280,021.30 : x
  2. Step 2: Convert to fraction form
    509,442.80/703,038.34 = 280,021.30/x
  3. Step 3: Cross multiply
    509,442.80x = 703,038.34 × 280,021.30
  4. Step 4: Simplify right side
    509,442.80x = 196,865,709,916.64
  5. Step 5: Solve for x
    x = 196,865,709,916.64/509,442.80
  6. Step 6: Final answer
    x = 386,433.39

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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.