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Finding the Fourth Proportional to 364,315.78, 542,810.77 and 343,943.88

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Solution

The fourth proportional to 364,315.78, 542,810.77 and 343,943.88 is: 512,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,315.78 : 542,810.77 = 343,943.88 : x
  2. Step 2: Convert to fraction form
    364,315.78/542,810.77 = 343,943.88/x
  3. Step 3: Cross multiply
    364,315.78x = 542,810.77 × 343,943.88
  4. Step 4: Simplify right side
    364,315.78x = 186,696,442,339.59
  5. Step 5: Solve for x
    x = 186,696,442,339.59/364,315.78
  6. Step 6: Final answer
    x = 512,457.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.