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Finding the Fourth Proportional to 384,009.40, 576,014.10 and 162,393.40

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Solution

The fourth proportional to 384,009.40, 576,014.10 and 162,393.40 is: 243,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,009.40 : 576,014.10 = 162,393.40 : x
  2. Step 2: Convert to fraction form
    384,009.40/576,014.10 = 162,393.40/x
  3. Step 3: Cross multiply
    384,009.40x = 576,014.10 × 162,393.40
  4. Step 4: Simplify right side
    384,009.40x = 93,540,888,146.94
  5. Step 5: Solve for x
    x = 93,540,888,146.94/384,009.40
  6. Step 6: Final answer
    x = 243,590.10

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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.