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Finding the Fourth Proportional to 357,321.36, 493,066.80 and 214,077.72

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Solution

The fourth proportional to 357,321.36, 493,066.80 and 214,077.72 is: 295,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,321.36 : 493,066.80 = 214,077.72 : x
  2. Step 2: Convert to fraction form
    357,321.36/493,066.80 = 214,077.72/x
  3. Step 3: Cross multiply
    357,321.36x = 493,066.80 × 214,077.72
  4. Step 4: Simplify right side
    357,321.36x = 105,554,616,351.70
  5. Step 5: Solve for x
    x = 105,554,616,351.70/357,321.36
  6. Step 6: Final answer
    x = 295,405.28

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1.5x scale

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.