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Finding the Fourth Proportional to 315,070.48, 434,807.82 and 171,838.36

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Solution

The fourth proportional to 315,070.48, 434,807.82 and 171,838.36 is: 237,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,070.48 : 434,807.82 = 171,838.36 : x
  2. Step 2: Convert to fraction form
    315,070.48/434,807.82 = 171,838.36/x
  3. Step 3: Cross multiply
    315,070.48x = 434,807.82 × 171,838.36
  4. Step 4: Simplify right side
    315,070.48x = 74,716,662,703.98
  5. Step 5: Solve for x
    x = 74,716,662,703.98/315,070.48
  6. Step 6: Final answer
    x = 237,142.69

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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.