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Finding the Fourth Proportional to 319,368.20, 478,533.90 and 200,827.40

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Solution

The fourth proportional to 319,368.20, 478,533.90 and 200,827.40 is: 300,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,368.20 : 478,533.90 = 200,827.40 : x
  2. Step 2: Convert to fraction form
    319,368.20/478,533.90 = 200,827.40/x
  3. Step 3: Cross multiply
    319,368.20x = 478,533.90 × 200,827.40
  4. Step 4: Simplify right side
    319,368.20x = 96,102,718,948.86
  5. Step 5: Solve for x
    x = 96,102,718,948.86/319,368.20
  6. Step 6: Final answer
    x = 300,915.12

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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.