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Finding the Fourth Proportional to 553,381.40, 830,849.70 and 343,429.40

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Solution

The fourth proportional to 553,381.40, 830,849.70 and 343,429.40 is: 515,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,381.40 : 830,849.70 = 343,429.40 : x
  2. Step 2: Convert to fraction form
    553,381.40/830,849.70 = 343,429.40/x
  3. Step 3: Cross multiply
    553,381.40x = 830,849.70 × 343,429.40
  4. Step 4: Simplify right side
    553,381.40x = 285,338,213,961.18
  5. Step 5: Solve for x
    x = 285,338,213,961.18/553,381.40
  6. Step 6: Final answer
    x = 515,626.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.