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Finding the Fourth Proportional to 385,549.18, 578,346.44 and 148,893.10

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Solution

The fourth proportional to 385,549.18, 578,346.44 and 148,893.10 is: 223,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,549.18 : 578,346.44 = 148,893.10 : x
  2. Step 2: Convert to fraction form
    385,549.18/578,346.44 = 148,893.10/x
  3. Step 3: Cross multiply
    385,549.18x = 578,346.44 × 148,893.10
  4. Step 4: Simplify right side
    385,549.18x = 86,111,794,325.56
  5. Step 5: Solve for x
    x = 86,111,794,325.56/385,549.18
  6. Step 6: Final answer
    x = 223,348.40

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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.