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Finding the Fourth Proportional to 258,978,378.40, 388,467,567.60 and 186,702,402.40

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Solution

The fourth proportional to 258,978,378.40, 388,467,567.60 and 186,702,402.40 is: 280,053,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,978,378.40 : 388,467,567.60 = 186,702,402.40 : x
  2. Step 2: Convert to fraction form
    258,978,378.40/388,467,567.60 = 186,702,402.40/x
  3. Step 3: Cross multiply
    258,978,378.40x = 388,467,567.60 × 186,702,402.40
  4. Step 4: Simplify right side
    258,978,378.40x = 72,527,828,125,404,416
  5. Step 5: Solve for x
    x = 72,527,828,125,404,416/258,978,378.40
  6. Step 6: Final answer
    x = 280,053,603.60

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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.