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Finding the Fourth Proportional to 228,585.80, 342,878.70 and 194,760.20

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Solution

The fourth proportional to 228,585.80, 342,878.70 and 194,760.20 is: 292,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,585.80 : 342,878.70 = 194,760.20 : x
  2. Step 2: Convert to fraction form
    228,585.80/342,878.70 = 194,760.20/x
  3. Step 3: Cross multiply
    228,585.80x = 342,878.70 × 194,760.20
  4. Step 4: Simplify right side
    228,585.80x = 66,779,124,187.74
  5. Step 5: Solve for x
    x = 66,779,124,187.74/228,585.80
  6. Step 6: Final answer
    x = 292,140.30

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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.