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Finding the Fourth Proportional to 282,783.90, 390,249.30 and 153,731.10

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Solution

The fourth proportional to 282,783.90, 390,249.30 and 153,731.10 is: 212,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,783.90 : 390,249.30 = 153,731.10 : x
  2. Step 2: Convert to fraction form
    282,783.90/390,249.30 = 153,731.10/x
  3. Step 3: Cross multiply
    282,783.90x = 390,249.30 × 153,731.10
  4. Step 4: Simplify right side
    282,783.90x = 59,993,454,163.23
  5. Step 5: Solve for x
    x = 59,993,454,163.23/282,783.90
  6. Step 6: Final answer
    x = 212,153.01

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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.