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Finding the Fourth Proportional to 388,670.32, 583,083.85 and 164,031

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Solution

The fourth proportional to 388,670.32, 583,083.85 and 164,031 is: 246,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,670.32 : 583,083.85 = 164,031 : x
  2. Step 2: Convert to fraction form
    388,670.32/583,083.85 = 164,031/x
  3. Step 3: Cross multiply
    388,670.32x = 583,083.85 × 164,031
  4. Step 4: Simplify right side
    388,670.32x = 95,643,826,999.35
  5. Step 5: Solve for x
    x = 95,643,826,999.35/388,670.32
  6. Step 6: Final answer
    x = 246,079.57

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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.