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Finding the Fourth Proportional to 714,218, 985,620.72 and 408,301.04

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Solution

The fourth proportional to 714,218, 985,620.72 and 408,301.04 is: 563,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,218 : 985,620.72 = 408,301.04 : x
  2. Step 2: Convert to fraction form
    714,218/985,620.72 = 408,301.04/x
  3. Step 3: Cross multiply
    714,218x = 985,620.72 × 408,301.04
  4. Step 4: Simplify right side
    714,218x = 402,429,965,021.55
  5. Step 5: Solve for x
    x = 402,429,965,021.55/714,218
  6. Step 6: Final answer
    x = 563,455.37

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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.