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Finding the Fourth Proportional to 698,248, 963,582.24 and 380,296

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Solution

The fourth proportional to 698,248, 963,582.24 and 380,296 is: 524,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,248 : 963,582.24 = 380,296 : x
  2. Step 2: Convert to fraction form
    698,248/963,582.24 = 380,296/x
  3. Step 3: Cross multiply
    698,248x = 963,582.24 × 380,296
  4. Step 4: Simplify right side
    698,248x = 366,446,471,543.04
  5. Step 5: Solve for x
    x = 366,446,471,543.04/698,248
  6. Step 6: Final answer
    x = 524,808.48

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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.