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Finding the Fourth Proportional to 377,477.40, 565,712.76 and 140,581.56

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Solution

The fourth proportional to 377,477.40, 565,712.76 and 140,581.56 is: 210,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,477.40 : 565,712.76 = 140,581.56 : x
  2. Step 2: Convert to fraction form
    377,477.40/565,712.76 = 140,581.56/x
  3. Step 3: Cross multiply
    377,477.40x = 565,712.76 × 140,581.56
  4. Step 4: Simplify right side
    377,477.40x = 79,528,782,312.71
  5. Step 5: Solve for x
    x = 79,528,782,312.71/377,477.40
  6. Step 6: Final answer
    x = 210,684.88

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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.