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Finding the Fourth Proportional to 390,107.48, 584,995.06 and 153,284.03

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Solution

The fourth proportional to 390,107.48, 584,995.06 and 153,284.03 is: 229,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,107.48 : 584,995.06 = 153,284.03 : x
  2. Step 2: Convert to fraction form
    390,107.48/584,995.06 = 153,284.03/x
  3. Step 3: Cross multiply
    390,107.48x = 584,995.06 × 153,284.03
  4. Step 4: Simplify right side
    390,107.48x = 89,670,400,326.89
  5. Step 5: Solve for x
    x = 89,670,400,326.89/390,107.48
  6. Step 6: Final answer
    x = 229,860.76

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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.