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Finding the Fourth Proportional to 698,598.50, 964,065.94 and 380,646.50

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Solution

The fourth proportional to 698,598.50, 964,065.94 and 380,646.50 is: 525,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,598.50 : 964,065.94 = 380,646.50 : x
  2. Step 2: Convert to fraction form
    698,598.50/964,065.94 = 380,646.50/x
  3. Step 3: Cross multiply
    698,598.50x = 964,065.94 × 380,646.50
  4. Step 4: Simplify right side
    698,598.50x = 366,968,325,830.21
  5. Step 5: Solve for x
    x = 366,968,325,830.21/698,598.50
  6. Step 6: Final answer
    x = 525,292.18

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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.