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Finding the Fourth Proportional to 706,140, 1,059,210 and 207,504

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Solution

The fourth proportional to 706,140, 1,059,210 and 207,504 is: 311,256

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,140 : 1,059,210 = 207,504 : x
  2. Step 2: Convert to fraction form
    706,140/1,059,210 = 207,504/x
  3. Step 3: Cross multiply
    706,140x = 1,059,210 × 207,504
  4. Step 4: Simplify right side
    706,140x = 219,790,311,840
  5. Step 5: Solve for x
    x = 219,790,311,840/706,140
  6. Step 6: Final answer
    x = 311,256

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.