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Finding the Fourth Proportional to 417,817.47, 625,339.89 and 380,463.51

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Solution

The fourth proportional to 417,817.47, 625,339.89 and 380,463.51 is: 569,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,817.47 : 625,339.89 = 380,463.51 : x
  2. Step 2: Convert to fraction form
    417,817.47/625,339.89 = 380,463.51/x
  3. Step 3: Cross multiply
    417,817.47x = 625,339.89 × 380,463.51
  4. Step 4: Simplify right side
    417,817.47x = 237,919,009,492.41
  5. Step 5: Solve for x
    x = 237,919,009,492.41/417,817.47
  6. Step 6: Final answer
    x = 569,432.89

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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.