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Finding the Fourth Proportional to 510,354.80, 704,284.08 and 280,907.12

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Solution

The fourth proportional to 510,354.80, 704,284.08 and 280,907.12 is: 387,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,354.80 : 704,284.08 = 280,907.12 : x
  2. Step 2: Convert to fraction form
    510,354.80/704,284.08 = 280,907.12/x
  3. Step 3: Cross multiply
    510,354.80x = 704,284.08 × 280,907.12
  4. Step 4: Simplify right side
    510,354.80x = 197,838,412,574.65
  5. Step 5: Solve for x
    x = 197,838,412,574.65/510,354.80
  6. Step 6: Final answer
    x = 387,648.77

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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.