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Finding the Fourth Proportional to 501,710.94, 692,493.84 and 310,615.74

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Solution

The fourth proportional to 501,710.94, 692,493.84 and 310,615.74 is: 428,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,710.94 : 692,493.84 = 310,615.74 : x
  2. Step 2: Convert to fraction form
    501,710.94/692,493.84 = 310,615.74/x
  3. Step 3: Cross multiply
    501,710.94x = 692,493.84 × 310,615.74
  4. Step 4: Simplify right side
    501,710.94x = 215,099,486,557.04
  5. Step 5: Solve for x
    x = 215,099,486,557.04/501,710.94
  6. Step 6: Final answer
    x = 428,731.90

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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.