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Finding the Fourth Proportional to 353,742.86, 488,468.57 and 342,303.98

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Solution

The fourth proportional to 353,742.86, 488,468.57 and 342,303.98 is: 472,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,742.86 : 488,468.57 = 342,303.98 : x
  2. Step 2: Convert to fraction form
    353,742.86/488,468.57 = 342,303.98/x
  3. Step 3: Cross multiply
    353,742.86x = 488,468.57 × 342,303.98
  4. Step 4: Simplify right side
    353,742.86x = 167,204,737,552.23
  5. Step 5: Solve for x
    x = 167,204,737,552.23/353,742.86
  6. Step 6: Final answer
    x = 472,673.10

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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.