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Finding the Fourth Proportional to 385,506.40, 578,000.40 and 205,621.60

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Solution

The fourth proportional to 385,506.40, 578,000.40 and 205,621.60 is: 308,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,506.40 : 578,000.40 = 205,621.60 : x
  2. Step 2: Convert to fraction form
    385,506.40/578,000.40 = 205,621.60/x
  3. Step 3: Cross multiply
    385,506.40x = 578,000.40 × 205,621.60
  4. Step 4: Simplify right side
    385,506.40x = 118,849,367,048.64
  5. Step 5: Solve for x
    x = 118,849,367,048.64/385,506.40
  6. Step 6: Final answer
    x = 308,294.15

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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.