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Finding the Fourth Proportional to 310,070.34, 427,943.86 and 189,281.94

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Solution

The fourth proportional to 310,070.34, 427,943.86 and 189,281.94 is: 261,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,070.34 : 427,943.86 = 189,281.94 : x
  2. Step 2: Convert to fraction form
    310,070.34/427,943.86 = 189,281.94/x
  3. Step 3: Cross multiply
    310,070.34x = 427,943.86 × 189,281.94
  4. Step 4: Simplify right side
    310,070.34x = 81,002,044,031.89
  5. Step 5: Solve for x
    x = 81,002,044,031.89/310,070.34
  6. Step 6: Final answer
    x = 261,237.64

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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.