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Finding the Fourth Proportional to 310,390.46, 465,741.50 and 141,895.77

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Solution

The fourth proportional to 310,390.46, 465,741.50 and 141,895.77 is: 212,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,390.46 : 465,741.50 = 141,895.77 : x
  2. Step 2: Convert to fraction form
    310,390.46/465,741.50 = 141,895.77/x
  3. Step 3: Cross multiply
    310,390.46x = 465,741.50 × 141,895.77
  4. Step 4: Simplify right side
    310,390.46x = 66,086,748,053.98
  5. Step 5: Solve for x
    x = 66,086,748,053.98/310,390.46
  6. Step 6: Final answer
    x = 212,914.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.