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Finding the Fourth Proportional to 706,252, 974,627.76 and 388,300

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Solution

The fourth proportional to 706,252, 974,627.76 and 388,300 is: 535,854

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,252 : 974,627.76 = 388,300 : x
  2. Step 2: Convert to fraction form
    706,252/974,627.76 = 388,300/x
  3. Step 3: Cross multiply
    706,252x = 974,627.76 × 388,300
  4. Step 4: Simplify right side
    706,252x = 378,447,959,208
  5. Step 5: Solve for x
    x = 378,447,959,208/706,252
  6. Step 6: Final answer
    x = 535,854

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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.