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Finding the Fourth Proportional to 390,598.56, 585,747.96 and 188,159.28

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Solution

The fourth proportional to 390,598.56, 585,747.96 and 188,159.28 is: 282,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,598.56 : 585,747.96 = 188,159.28 : x
  2. Step 2: Convert to fraction form
    390,598.56/585,747.96 = 188,159.28/x
  3. Step 3: Cross multiply
    390,598.56x = 585,747.96 × 188,159.28
  4. Step 4: Simplify right side
    390,598.56x = 110,213,914,415.07
  5. Step 5: Solve for x
    x = 110,213,914,415.07/390,598.56
  6. Step 6: Final answer
    x = 282,166.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.