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Finding the Fourth Proportional to 340,465.28, 469,898.08 and 259,740.48

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Solution

The fourth proportional to 340,465.28, 469,898.08 and 259,740.48 is: 358,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,465.28 : 469,898.08 = 259,740.48 : x
  2. Step 2: Convert to fraction form
    340,465.28/469,898.08 = 259,740.48/x
  3. Step 3: Cross multiply
    340,465.28x = 469,898.08 × 259,740.48
  4. Step 4: Simplify right side
    340,465.28x = 122,051,552,850.28
  5. Step 5: Solve for x
    x = 122,051,552,850.28/340,465.28
  6. Step 6: Final answer
    x = 358,484.58

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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.