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Finding the Fourth Proportional to 553,301.40, 830,729.70 and 343,349.40

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Solution

The fourth proportional to 553,301.40, 830,729.70 and 343,349.40 is: 515,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,301.40 : 830,729.70 = 343,349.40 : x
  2. Step 2: Convert to fraction form
    553,301.40/830,729.70 = 343,349.40/x
  3. Step 3: Cross multiply
    553,301.40x = 830,729.70 × 343,349.40
  4. Step 4: Simplify right side
    553,301.40x = 285,230,544,057.18
  5. Step 5: Solve for x
    x = 285,230,544,057.18/553,301.40
  6. Step 6: Final answer
    x = 515,506.64

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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.