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Finding the Fourth Proportional to 358,746.46, 538,119.69 and 312,557.02

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Solution

The fourth proportional to 358,746.46, 538,119.69 and 312,557.02 is: 468,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,746.46 : 538,119.69 = 312,557.02 : x
  2. Step 2: Convert to fraction form
    358,746.46/538,119.69 = 312,557.02/x
  3. Step 3: Cross multiply
    358,746.46x = 538,119.69 × 312,557.02
  4. Step 4: Simplify right side
    358,746.46x = 168,193,086,709.72
  5. Step 5: Solve for x
    x = 168,193,086,709.72/358,746.46
  6. Step 6: Final answer
    x = 468,835.53

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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.