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Finding the Fourth Proportional to 385,355.20, 578,133.60 and 148,705.60

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Solution

The fourth proportional to 385,355.20, 578,133.60 and 148,705.60 is: 223,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,355.20 : 578,133.60 = 148,705.60 : x
  2. Step 2: Convert to fraction form
    385,355.20/578,133.60 = 148,705.60/x
  3. Step 3: Cross multiply
    385,355.20x = 578,133.60 × 148,705.60
  4. Step 4: Simplify right side
    385,355.20x = 85,971,703,868.16
  5. Step 5: Solve for x
    x = 85,971,703,868.16/385,355.20
  6. Step 6: Final answer
    x = 223,097.30

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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.