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Finding the Fourth Proportional to 340,400.04, 510,602.81 and 115,811.54

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Solution

The fourth proportional to 340,400.04, 510,602.81 and 115,811.54 is: 173,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,400.04 : 510,602.81 = 115,811.54 : x
  2. Step 2: Convert to fraction form
    340,400.04/510,602.81 = 115,811.54/x
  3. Step 3: Cross multiply
    340,400.04x = 510,602.81 × 115,811.54
  4. Step 4: Simplify right side
    340,400.04x = 59,133,696,537.12
  5. Step 5: Solve for x
    x = 59,133,696,537.12/340,400.04
  6. Step 6: Final answer
    x = 173,718.24

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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.