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Finding the Fourth Proportional to 426,678.21, 640,041.90 and 160,441.03

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Solution

The fourth proportional to 426,678.21, 640,041.90 and 160,441.03 is: 240,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,678.21 : 640,041.90 = 160,441.03 : x
  2. Step 2: Convert to fraction form
    426,678.21/640,041.90 = 160,441.03/x
  3. Step 3: Cross multiply
    426,678.21x = 640,041.90 × 160,441.03
  4. Step 4: Simplify right side
    426,678.21x = 102,688,984,014.89
  5. Step 5: Solve for x
    x = 102,688,984,014.89/426,678.21
  6. Step 6: Final answer
    x = 240,670.79

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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.