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Finding the Fourth Proportional to 557,546.40, 769,404.96 and 302,901.84

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Solution

The fourth proportional to 557,546.40, 769,404.96 and 302,901.84 is: 417,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,546.40 : 769,404.96 = 302,901.84 : x
  2. Step 2: Convert to fraction form
    557,546.40/769,404.96 = 302,901.84/x
  3. Step 3: Cross multiply
    557,546.40x = 769,404.96 × 302,901.84
  4. Step 4: Simplify right side
    557,546.40x = 233,054,178,089.13
  5. Step 5: Solve for x
    x = 233,054,178,089.13/557,546.40
  6. Step 6: Final answer
    x = 417,999.61

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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.