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Finding the Fourth Proportional to 660,397, 911,347.86 and 358,591

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Solution

The fourth proportional to 660,397, 911,347.86 and 358,591 is: 494,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,397 : 911,347.86 = 358,591 : x
  2. Step 2: Convert to fraction form
    660,397/911,347.86 = 358,591/x
  3. Step 3: Cross multiply
    660,397x = 911,347.86 × 358,591
  4. Step 4: Simplify right side
    660,397x = 326,801,140,465.26
  5. Step 5: Solve for x
    x = 326,801,140,465.26/660,397
  6. Step 6: Final answer
    x = 494,855.58

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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.