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Finding the Fourth Proportional to 278,325.06, 417,510.12 and 78,647.10

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Solution

The fourth proportional to 278,325.06, 417,510.12 and 78,647.10 is: 117,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,325.06 : 417,510.12 = 78,647.10 : x
  2. Step 2: Convert to fraction form
    278,325.06/417,510.12 = 78,647.10/x
  3. Step 3: Cross multiply
    278,325.06x = 417,510.12 × 78,647.10
  4. Step 4: Simplify right side
    278,325.06x = 32,835,960,158.65
  5. Step 5: Solve for x
    x = 32,835,960,158.65/278,325.06
  6. Step 6: Final answer
    x = 117,977.02

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1.5x scale

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.