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Finding the Fourth Proportional to 431,091.40, 646,637.10 and 431,091.40

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Solution

The fourth proportional to 431,091.40, 646,637.10 and 431,091.40 is: 646,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,091.40 : 646,637.10 = 431,091.40 : x
  2. Step 2: Convert to fraction form
    431,091.40/646,637.10 = 431,091.40/x
  3. Step 3: Cross multiply
    431,091.40x = 646,637.10 × 431,091.40
  4. Step 4: Simplify right side
    431,091.40x = 278,759,692,730.94
  5. Step 5: Solve for x
    x = 278,759,692,730.94/431,091.40
  6. Step 6: Final answer
    x = 646,637.10

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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.