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Finding the Fourth Proportional to 385,314.40, 577,280.40 and 330,018.40

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Solution

The fourth proportional to 385,314.40, 577,280.40 and 330,018.40 is: 494,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,314.40 : 577,280.40 = 330,018.40 : x
  2. Step 2: Convert to fraction form
    385,314.40/577,280.40 = 330,018.40/x
  3. Step 3: Cross multiply
    385,314.40x = 577,280.40 × 330,018.40
  4. Step 4: Simplify right side
    385,314.40x = 190,513,153,959.36
  5. Step 5: Solve for x
    x = 190,513,153,959.36/385,314.40
  6. Step 6: Final answer
    x = 494,435.59

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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.