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Finding the Fourth Proportional to 315,447.84, 473,119.20 and 93,780

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Solution

The fourth proportional to 315,447.84, 473,119.20 and 93,780 is: 140,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,447.84 : 473,119.20 = 93,780 : x
  2. Step 2: Convert to fraction form
    315,447.84/473,119.20 = 93,780/x
  3. Step 3: Cross multiply
    315,447.84x = 473,119.20 × 93,780
  4. Step 4: Simplify right side
    315,447.84x = 44,369,118,576
  5. Step 5: Solve for x
    x = 44,369,118,576/315,447.84
  6. Step 6: Final answer
    x = 140,654.37

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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.