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Finding the Fourth Proportional to 513,574.81, 708,830.54 and 344,103.37

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Solution

The fourth proportional to 513,574.81, 708,830.54 and 344,103.37 is: 474,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,574.81 : 708,830.54 = 344,103.37 : x
  2. Step 2: Convert to fraction form
    513,574.81/708,830.54 = 344,103.37/x
  3. Step 3: Cross multiply
    513,574.81x = 708,830.54 × 344,103.37
  4. Step 4: Simplify right side
    513,574.81x = 243,910,977,572.92
  5. Step 5: Solve for x
    x = 243,910,977,572.92/513,574.81
  6. Step 6: Final answer
    x = 474,927.84

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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.