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Finding the Fourth Proportional to 276,557, 414,835.50 and 79,565

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Solution

The fourth proportional to 276,557, 414,835.50 and 79,565 is: 119,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,557 : 414,835.50 = 79,565 : x
  2. Step 2: Convert to fraction form
    276,557/414,835.50 = 79,565/x
  3. Step 3: Cross multiply
    276,557x = 414,835.50 × 79,565
  4. Step 4: Simplify right side
    276,557x = 33,006,386,557.50
  5. Step 5: Solve for x
    x = 33,006,386,557.50/276,557
  6. Step 6: Final answer
    x = 119,347.50

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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.