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Finding the Fourth Proportional to 501,711.94, 692,495.22 and 310,616.74

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Solution

The fourth proportional to 501,711.94, 692,495.22 and 310,616.74 is: 428,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,711.94 : 692,495.22 = 310,616.74 : x
  2. Step 2: Convert to fraction form
    501,711.94/692,495.22 = 310,616.74/x
  3. Step 3: Cross multiply
    501,711.94x = 692,495.22 × 310,616.74
  4. Step 4: Simplify right side
    501,711.94x = 215,100,607,701.98
  5. Step 5: Solve for x
    x = 215,100,607,701.98/501,711.94
  6. Step 6: Final answer
    x = 428,733.28

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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.