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Finding the Fourth Proportional to 315,647.55, 435,480.43 and 186,558.93

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Solution

The fourth proportional to 315,647.55, 435,480.43 and 186,558.93 is: 257,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,647.55 : 435,480.43 = 186,558.93 : x
  2. Step 2: Convert to fraction form
    315,647.55/435,480.43 = 186,558.93/x
  3. Step 3: Cross multiply
    315,647.55x = 435,480.43 × 186,558.93
  4. Step 4: Simplify right side
    315,647.55x = 81,242,763,056.74
  5. Step 5: Solve for x
    x = 81,242,763,056.74/315,647.55
  6. Step 6: Final answer
    x = 257,384.42

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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.