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Finding the Fourth Proportional to 390,106.48, 584,993.56 and 153,283.03

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Solution

The fourth proportional to 390,106.48, 584,993.56 and 153,283.03 is: 229,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,106.48 : 584,993.56 = 153,283.03 : x
  2. Step 2: Convert to fraction form
    390,106.48/584,993.56 = 153,283.03/x
  3. Step 3: Cross multiply
    390,106.48x = 584,993.56 × 153,283.03
  4. Step 4: Simplify right side
    390,106.48x = 89,669,585,407.29
  5. Step 5: Solve for x
    x = 89,669,585,407.29/390,106.48
  6. Step 6: Final answer
    x = 229,859.26

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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.