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Finding the Fourth Proportional to 698,585, 964,047.30 and 380,633

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Solution

The fourth proportional to 698,585, 964,047.30 and 380,633 is: 525,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,585 : 964,047.30 = 380,633 : x
  2. Step 2: Convert to fraction form
    698,585/964,047.30 = 380,633/x
  3. Step 3: Cross multiply
    698,585x = 964,047.30 × 380,633
  4. Step 4: Simplify right side
    698,585x = 366,948,215,940.90
  5. Step 5: Solve for x
    x = 366,948,215,940.90/698,585
  6. Step 6: Final answer
    x = 525,273.54

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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.