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Finding the Fourth Proportional to 278,017.95, 383,665.16 and 150,693.51

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Solution

The fourth proportional to 278,017.95, 383,665.16 and 150,693.51 is: 207,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,017.95 : 383,665.16 = 150,693.51 : x
  2. Step 2: Convert to fraction form
    278,017.95/383,665.16 = 150,693.51/x
  3. Step 3: Cross multiply
    278,017.95x = 383,665.16 × 150,693.51
  4. Step 4: Simplify right side
    278,017.95x = 57,815,848,871.64
  5. Step 5: Solve for x
    x = 57,815,848,871.64/278,017.95
  6. Step 6: Final answer
    x = 207,957.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.