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Finding the Fourth Proportional to 510,354.80, 704,284.02 and 280,907.18

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Solution

The fourth proportional to 510,354.80, 704,284.02 and 280,907.18 is: 387,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,354.80 : 704,284.02 = 280,907.18 : x
  2. Step 2: Convert to fraction form
    510,354.80/704,284.02 = 280,907.18/x
  3. Step 3: Cross multiply
    510,354.80x = 704,284.02 × 280,907.18
  4. Step 4: Simplify right side
    510,354.80x = 197,838,437,977.26
  5. Step 5: Solve for x
    x = 197,838,437,977.26/510,354.80
  6. Step 6: Final answer
    x = 387,648.82

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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.