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Finding the Fourth Proportional to 310,490.76, 466,061.85 and 275,178

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Solution

The fourth proportional to 310,490.76, 466,061.85 and 275,178 is: 413,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,490.76 : 466,061.85 = 275,178 : x
  2. Step 2: Convert to fraction form
    310,490.76/466,061.85 = 275,178/x
  3. Step 3: Cross multiply
    310,490.76x = 466,061.85 × 275,178
  4. Step 4: Simplify right side
    310,490.76x = 128,249,967,759.30
  5. Step 5: Solve for x
    x = 128,249,967,759.30/310,490.76
  6. Step 6: Final answer
    x = 413,055.67

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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.