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Finding the Fourth Proportional to 455,038.60, 683,870.10 and 397,301.80

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Solution

The fourth proportional to 455,038.60, 683,870.10 and 397,301.80 is: 597,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,038.60 : 683,870.10 = 397,301.80 : x
  2. Step 2: Convert to fraction form
    455,038.60/683,870.10 = 397,301.80/x
  3. Step 3: Cross multiply
    455,038.60x = 683,870.10 × 397,301.80
  4. Step 4: Simplify right side
    455,038.60x = 271,702,821,696.18
  5. Step 5: Solve for x
    x = 271,702,821,696.18/455,038.60
  6. Step 6: Final answer
    x = 597,098.40

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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.