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Finding the Fourth Proportional to 651,962,908.80, 977,991,602.40 and 392,619,700.80

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Solution

The fourth proportional to 651,962,908.80, 977,991,602.40 and 392,619,700.80 is: 588,957,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,962,908.80 : 977,991,602.40 = 392,619,700.80 : x
  2. Step 2: Convert to fraction form
    651,962,908.80/977,991,602.40 = 392,619,700.80/x
  3. Step 3: Cross multiply
    651,962,908.80x = 977,991,602.40 × 392,619,700.80
  4. Step 4: Simplify right side
    651,962,908.80x = 383,978,770,319,200,576
  5. Step 5: Solve for x
    x = 383,978,770,319,200,576/651,962,908.80
  6. Step 6: Final answer
    x = 588,957,999.20

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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.