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Finding the Fourth Proportional to 431,139.39, 646,985.87 and 289,145.01

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Solution

The fourth proportional to 431,139.39, 646,985.87 and 289,145.01 is: 433,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,139.39 : 646,985.87 = 289,145.01 : x
  2. Step 2: Convert to fraction form
    431,139.39/646,985.87 = 289,145.01/x
  3. Step 3: Cross multiply
    431,139.39x = 646,985.87 × 289,145.01
  4. Step 4: Simplify right side
    431,139.39x = 187,072,737,915.77
  5. Step 5: Solve for x
    x = 187,072,737,915.77/431,139.39
  6. Step 6: Final answer
    x = 433,903.15

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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.