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Finding the Fourth Proportional to 557,419.40, 769,247.70 and 302,770.76

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Solution

The fourth proportional to 557,419.40, 769,247.70 and 302,770.76 is: 417,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,419.40 : 769,247.70 = 302,770.76 : x
  2. Step 2: Convert to fraction form
    557,419.40/769,247.70 = 302,770.76/x
  3. Step 3: Cross multiply
    557,419.40x = 769,247.70 × 302,770.76
  4. Step 4: Simplify right side
    557,419.40x = 232,905,710,757.25
  5. Step 5: Solve for x
    x = 232,905,710,757.25/557,419.40
  6. Step 6: Final answer
    x = 417,828.50

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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.