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Finding the Fourth Proportional to 431,094,401.60, 646,641,602.40 and 259,101,723.20

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Solution

The fourth proportional to 431,094,401.60, 646,641,602.40 and 259,101,723.20 is: 388,652,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,094,401.60 : 646,641,602.40 = 259,101,723.20 : x
  2. Step 2: Convert to fraction form
    431,094,401.60/646,641,602.40 = 259,101,723.20/x
  3. Step 3: Cross multiply
    431,094,401.60x = 646,641,602.40 × 259,101,723.20
  4. Step 4: Simplify right side
    431,094,401.60x = 167,545,953,474,649,248
  5. Step 5: Solve for x
    x = 167,545,953,474,649,248/431,094,401.60
  6. Step 6: Final answer
    x = 388,652,584.80

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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.