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Finding the Fourth Proportional to 488,338,737.40, 733,358,411.70 and 258,756,225.40

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Solution

The fourth proportional to 488,338,737.40, 733,358,411.70 and 258,756,225.40 is: 388,584,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,338,737.40 : 733,358,411.70 = 258,756,225.40 : x
  2. Step 2: Convert to fraction form
    488,338,737.40/733,358,411.70 = 258,756,225.40/x
  3. Step 3: Cross multiply
    488,338,737.40x = 733,358,411.70 × 258,756,225.40
  4. Step 4: Simplify right side
    488,338,737.40x = 189,761,054,476,831,200
  5. Step 5: Solve for x
    x = 189,761,054,476,831,200/488,338,737.40
  6. Step 6: Final answer
    x = 388,584,889.84

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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.