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Finding the Fourth Proportional to 461,403.80, 692,105.70 and 212,085.80

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Solution

The fourth proportional to 461,403.80, 692,105.70 and 212,085.80 is: 318,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,403.80 : 692,105.70 = 212,085.80 : x
  2. Step 2: Convert to fraction form
    461,403.80/692,105.70 = 212,085.80/x
  3. Step 3: Cross multiply
    461,403.80x = 692,105.70 × 212,085.80
  4. Step 4: Simplify right side
    461,403.80x = 146,785,791,069.06
  5. Step 5: Solve for x
    x = 146,785,791,069.06/461,403.80
  6. Step 6: Final answer
    x = 318,128.70

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1.5x scale

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.