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Finding the Fourth Proportional to 390,210.30, 585,424.80 and 190,537.20

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Solution

The fourth proportional to 390,210.30, 585,424.80 and 190,537.20 is: 285,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,210.30 : 585,424.80 = 190,537.20 : x
  2. Step 2: Convert to fraction form
    390,210.30/585,424.80 = 190,537.20/x
  3. Step 3: Cross multiply
    390,210.30x = 585,424.80 × 190,537.20
  4. Step 4: Simplify right side
    390,210.30x = 111,545,202,202.56
  5. Step 5: Solve for x
    x = 111,545,202,202.56/390,210.30
  6. Step 6: Final answer
    x = 285,859.19

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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.