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Finding the Fourth Proportional to 611,064, 843,274.08 and 342,797.76

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Solution

The fourth proportional to 611,064, 843,274.08 and 342,797.76 is: 473,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,064 : 843,274.08 = 342,797.76 : x
  2. Step 2: Convert to fraction form
    611,064/843,274.08 = 342,797.76/x
  3. Step 3: Cross multiply
    611,064x = 843,274.08 × 342,797.76
  4. Step 4: Simplify right side
    611,064x = 289,072,465,690.06
  5. Step 5: Solve for x
    x = 289,072,465,690.06/611,064
  6. Step 6: Final answer
    x = 473,064.14

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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.