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Finding the Fourth Proportional to 698,210, 963,529.80 and 380,258

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Solution

The fourth proportional to 698,210, 963,529.80 and 380,258 is: 524,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,210 : 963,529.80 = 380,258 : x
  2. Step 2: Convert to fraction form
    698,210/963,529.80 = 380,258/x
  3. Step 3: Cross multiply
    698,210x = 963,529.80 × 380,258
  4. Step 4: Simplify right side
    698,210x = 366,389,914,688.40
  5. Step 5: Solve for x
    x = 366,389,914,688.40/698,210
  6. Step 6: Final answer
    x = 524,756.04

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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.