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Finding the Fourth Proportional to 390,260.94, 585,323.37 and 109,711.50

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Solution

The fourth proportional to 390,260.94, 585,323.37 and 109,711.50 is: 164,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,260.94 : 585,323.37 = 109,711.50 : x
  2. Step 2: Convert to fraction form
    390,260.94/585,323.37 = 109,711.50/x
  3. Step 3: Cross multiply
    390,260.94x = 585,323.37 × 109,711.50
  4. Step 4: Simplify right side
    390,260.94x = 64,216,704,907.76
  5. Step 5: Solve for x
    x = 64,216,704,907.76/390,260.94
  6. Step 6: Final answer
    x = 164,548.12

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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.