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Finding the Fourth Proportional to 328,015.90, 492,023.85 and 286,543.90

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Solution

The fourth proportional to 328,015.90, 492,023.85 and 286,543.90 is: 429,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,015.90 : 492,023.85 = 286,543.90 : x
  2. Step 2: Convert to fraction form
    328,015.90/492,023.85 = 286,543.90/x
  3. Step 3: Cross multiply
    328,015.90x = 492,023.85 × 286,543.90
  4. Step 4: Simplify right side
    328,015.90x = 140,986,432,872.02
  5. Step 5: Solve for x
    x = 140,986,432,872.02/328,015.90
  6. Step 6: Final answer
    x = 429,815.85

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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.