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Finding the Fourth Proportional to 705,840, 974,059.20 and 387,888

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Solution

The fourth proportional to 705,840, 974,059.20 and 387,888 is: 535,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,840 : 974,059.20 = 387,888 : x
  2. Step 2: Convert to fraction form
    705,840/974,059.20 = 387,888/x
  3. Step 3: Cross multiply
    705,840x = 974,059.20 × 387,888
  4. Step 4: Simplify right side
    705,840x = 377,825,874,969.60
  5. Step 5: Solve for x
    x = 377,825,874,969.60/705,840
  6. Step 6: Final answer
    x = 535,285.44

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1.5x scale

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.