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Finding the Fourth Proportional to 315,643.18, 435,474.40 and 186,554.56

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Solution

The fourth proportional to 315,643.18, 435,474.40 and 186,554.56 is: 257,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,643.18 : 435,474.40 = 186,554.56 : x
  2. Step 2: Convert to fraction form
    315,643.18/435,474.40 = 186,554.56/x
  3. Step 3: Cross multiply
    315,643.18x = 435,474.40 × 186,554.56
  4. Step 4: Simplify right side
    315,643.18x = 81,239,731,973.12
  5. Step 5: Solve for x
    x = 81,239,731,973.12/315,643.18
  6. Step 6: Final answer
    x = 257,378.39

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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.