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Finding the Fourth Proportional to 706,442.40, 974,884.68 and 416,222.64

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Solution

The fourth proportional to 706,442.40, 974,884.68 and 416,222.64 is: 574,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,442.40 : 974,884.68 = 416,222.64 : x
  2. Step 2: Convert to fraction form
    706,442.40/974,884.68 = 416,222.64/x
  3. Step 3: Cross multiply
    706,442.40x = 974,884.68 × 416,222.64
  4. Step 4: Simplify right side
    706,442.40x = 405,769,075,205.16
  5. Step 5: Solve for x
    x = 405,769,075,205.16/706,442.40
  6. Step 6: Final answer
    x = 574,383.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.