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Finding the Fourth Proportional to 557,550.14, 769,394.43 and 315,827.84

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Solution

The fourth proportional to 557,550.14, 769,394.43 and 315,827.84 is: 435,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,550.14 : 769,394.43 = 315,827.84 : x
  2. Step 2: Convert to fraction form
    557,550.14/769,394.43 = 315,827.84/x
  3. Step 3: Cross multiply
    557,550.14x = 769,394.43 × 315,827.84
  4. Step 4: Simplify right side
    557,550.14x = 242,996,182,858.42
  5. Step 5: Solve for x
    x = 242,996,182,858.42/557,550.14
  6. Step 6: Final answer
    x = 435,828.40

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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.