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Finding the Fourth Proportional to 473,149,782.40, 708,662,990.40 and 388,215,126.40

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Solution

The fourth proportional to 473,149,782.40, 708,662,990.40 and 388,215,126.40 is: 581,451,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,149,782.40 : 708,662,990.40 = 388,215,126.40 : x
  2. Step 2: Convert to fraction form
    473,149,782.40/708,662,990.40 = 388,215,126.40/x
  3. Step 3: Cross multiply
    473,149,782.40x = 708,662,990.40 × 388,215,126.40
  4. Step 4: Simplify right side
    473,149,782.40x = 275,113,692,393,137,952
  5. Step 5: Solve for x
    x = 275,113,692,393,137,952/473,149,782.40
  6. Step 6: Final answer
    x = 581,451,588.12

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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.