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Finding the Fourth Proportional to 437,543.70, 654,857.55 and 317,258.70

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Solution

The fourth proportional to 437,543.70, 654,857.55 and 317,258.70 is: 474,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,543.70 : 654,857.55 = 317,258.70 : x
  2. Step 2: Convert to fraction form
    437,543.70/654,857.55 = 317,258.70/x
  3. Step 3: Cross multiply
    437,543.70x = 654,857.55 × 317,258.70
  4. Step 4: Simplify right side
    437,543.70x = 207,759,254,998.19
  5. Step 5: Solve for x
    x = 207,759,254,998.19/437,543.70
  6. Step 6: Final answer
    x = 474,830.87

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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.