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Finding the Fourth Proportional to 611,070, 843,282.36 and 342,803.76

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Solution

The fourth proportional to 611,070, 843,282.36 and 342,803.76 is: 473,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,070 : 843,282.36 = 342,803.76 : x
  2. Step 2: Convert to fraction form
    611,070/843,282.36 = 342,803.76/x
  3. Step 3: Cross multiply
    611,070x = 843,282.36 × 342,803.76
  4. Step 4: Simplify right side
    611,070x = 289,080,363,749.67
  5. Step 5: Solve for x
    x = 289,080,363,749.67/611,070
  6. Step 6: Final answer
    x = 473,072.42

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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.