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Finding the Fourth Proportional to 488,210.40, 732,432.51 and 203,742.72

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Solution

The fourth proportional to 488,210.40, 732,432.51 and 203,742.72 is: 305,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,210.40 : 732,432.51 = 203,742.72 : x
  2. Step 2: Convert to fraction form
    488,210.40/732,432.51 = 203,742.72/x
  3. Step 3: Cross multiply
    488,210.40x = 732,432.51 × 203,742.72
  4. Step 4: Simplify right side
    488,210.40x = 149,227,791,803.83
  5. Step 5: Solve for x
    x = 149,227,791,803.83/488,210.40
  6. Step 6: Final answer
    x = 305,662.87

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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.