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Finding the Fourth Proportional to 213,846.40, 320,846.40 and 89,225.60

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Solution

The fourth proportional to 213,846.40, 320,846.40 and 89,225.60 is: 133,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846.40 : 320,846.40 = 89,225.60 : x
  2. Step 2: Convert to fraction form
    213,846.40/320,846.40 = 89,225.60/x
  3. Step 3: Cross multiply
    213,846.40x = 320,846.40 × 89,225.60
  4. Step 4: Simplify right side
    213,846.40x = 28,627,712,547.84
  5. Step 5: Solve for x
    x = 28,627,712,547.84/213,846.40
  6. Step 6: Final answer
    x = 133,870.44

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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.