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Finding the Fourth Proportional to 385,829.40, 578,052.90 and 330,533.40

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Solution

The fourth proportional to 385,829.40, 578,052.90 and 330,533.40 is: 495,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,829.40 : 578,052.90 = 330,533.40 : x
  2. Step 2: Convert to fraction form
    385,829.40/578,052.90 = 330,533.40/x
  3. Step 3: Cross multiply
    385,829.40x = 578,052.90 × 330,533.40
  4. Step 4: Simplify right side
    385,829.40x = 191,065,790,416.86
  5. Step 5: Solve for x
    x = 191,065,790,416.86/385,829.40
  6. Step 6: Final answer
    x = 495,207.96

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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.