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Finding the Fourth Proportional to 277,521.20, 416,281.80 and 202,288.40

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Solution

The fourth proportional to 277,521.20, 416,281.80 and 202,288.40 is: 303,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,521.20 : 416,281.80 = 202,288.40 : x
  2. Step 2: Convert to fraction form
    277,521.20/416,281.80 = 202,288.40/x
  3. Step 3: Cross multiply
    277,521.20x = 416,281.80 × 202,288.40
  4. Step 4: Simplify right side
    277,521.20x = 84,208,979,271.12
  5. Step 5: Solve for x
    x = 84,208,979,271.12/277,521.20
  6. Step 6: Final answer
    x = 303,432.60

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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.