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Finding the Fourth Proportional to 385,851.40, 578,582.70 and 228,128.20

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Solution

The fourth proportional to 385,851.40, 578,582.70 and 228,128.20 is: 342,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,851.40 : 578,582.70 = 228,128.20 : x
  2. Step 2: Convert to fraction form
    385,851.40/578,582.70 = 228,128.20/x
  3. Step 3: Cross multiply
    385,851.40x = 578,582.70 × 228,128.20
  4. Step 4: Simplify right side
    385,851.40x = 131,991,029,902.14
  5. Step 5: Solve for x
    x = 131,991,029,902.14/385,851.40
  6. Step 6: Final answer
    x = 342,077.36

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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.