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Finding the Fourth Proportional to 385,368.40, 578,052.60 and 148,718.80

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Solution

The fourth proportional to 385,368.40, 578,052.60 and 148,718.80 is: 223,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,368.40 : 578,052.60 = 148,718.80 : x
  2. Step 2: Convert to fraction form
    385,368.40/578,052.60 = 148,718.80/x
  3. Step 3: Cross multiply
    385,368.40x = 578,052.60 × 148,718.80
  4. Step 4: Simplify right side
    385,368.40x = 85,967,289,008.88
  5. Step 5: Solve for x
    x = 85,967,289,008.88/385,368.40
  6. Step 6: Final answer
    x = 223,078.20

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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.