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Finding the Fourth Proportional to 662,980.60, 994,470.90 and 411,038.20

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Solution

The fourth proportional to 662,980.60, 994,470.90 and 411,038.20 is: 616,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,980.60 : 994,470.90 = 411,038.20 : x
  2. Step 2: Convert to fraction form
    662,980.60/994,470.90 = 411,038.20/x
  3. Step 3: Cross multiply
    662,980.60x = 994,470.90 × 411,038.20
  4. Step 4: Simplify right side
    662,980.60x = 408,765,528,688.38
  5. Step 5: Solve for x
    x = 408,765,528,688.38/662,980.60
  6. Step 6: Final answer
    x = 616,557.30

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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.