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Finding the Fourth Proportional to 385,308.60, 578,128.29 and 148,817.35

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Solution

The fourth proportional to 385,308.60, 578,128.29 and 148,817.35 is: 223,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,308.60 : 578,128.29 = 148,817.35 : x
  2. Step 2: Convert to fraction form
    385,308.60/578,128.29 = 148,817.35/x
  3. Step 3: Cross multiply
    385,308.60x = 578,128.29 × 148,817.35
  4. Step 4: Simplify right side
    385,308.60x = 86,035,520,242.43
  5. Step 5: Solve for x
    x = 86,035,520,242.43/385,308.60
  6. Step 6: Final answer
    x = 223,289.91

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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.