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Finding the Fourth Proportional to 873,689,788, 1,205,683,948.28 and 477,212,672.46

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Solution

The fourth proportional to 873,689,788, 1,205,683,948.28 and 477,212,672.46 is: 658,549,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,689,788 : 1,205,683,948.28 = 477,212,672.46 : x
  2. Step 2: Convert to fraction form
    873,689,788/1,205,683,948.28 = 477,212,672.46/x
  3. Step 3: Cross multiply
    873,689,788x = 1,205,683,948.28 × 477,212,672.46
  4. Step 4: Simplify right side
    873,689,788x = 575,367,659,100,823,168
  5. Step 5: Solve for x
    x = 575,367,659,100,823,168/873,689,788
  6. Step 6: Final answer
    x = 658,549,140.67

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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.