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Finding the Fourth Proportional to 513,420.69, 708,303.60 and 343,709.49

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Solution

The fourth proportional to 513,420.69, 708,303.60 and 343,709.49 is: 474,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,420.69 : 708,303.60 = 343,709.49 : x
  2. Step 2: Convert to fraction form
    513,420.69/708,303.60 = 343,709.49/x
  3. Step 3: Cross multiply
    513,420.69x = 708,303.60 × 343,709.49
  4. Step 4: Simplify right side
    513,420.69x = 243,450,669,121.16
  5. Step 5: Solve for x
    x = 243,450,669,121.16/513,420.69
  6. Step 6: Final answer
    x = 474,173.86

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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.