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Finding the Fourth Proportional to 553,305.40, 830,735.70 and 343,353.40

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Solution

The fourth proportional to 553,305.40, 830,735.70 and 343,353.40 is: 515,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,305.40 : 830,735.70 = 343,353.40 : x
  2. Step 2: Convert to fraction form
    553,305.40/830,735.70 = 343,353.40/x
  3. Step 3: Cross multiply
    553,305.40x = 830,735.70 × 343,353.40
  4. Step 4: Simplify right side
    553,305.40x = 285,235,927,096.38
  5. Step 5: Solve for x
    x = 285,235,927,096.38/553,305.40
  6. Step 6: Final answer
    x = 515,512.64

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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.