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Finding the Fourth Proportional to 700,392,137.88, 966,524,291.76 and 382,838,135.16

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Solution

The fourth proportional to 700,392,137.88, 966,524,291.76 and 382,838,135.16 is: 528,307,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,392,137.88 : 966,524,291.76 = 382,838,135.16 : x
  2. Step 2: Convert to fraction form
    700,392,137.88/966,524,291.76 = 382,838,135.16/x
  3. Step 3: Cross multiply
    700,392,137.88x = 966,524,291.76 × 382,838,135.16
  4. Step 4: Simplify right side
    700,392,137.88x = 370,022,357,444,238,144
  5. Step 5: Solve for x
    x = 370,022,357,444,238,144/700,392,137.88
  6. Step 6: Final answer
    x = 528,307,411.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.