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Finding the Fourth Proportional to 430,154.40, 646,164.72 and 414,408

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Solution

The fourth proportional to 430,154.40, 646,164.72 and 414,408 is: 622,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,154.40 : 646,164.72 = 414,408 : x
  2. Step 2: Convert to fraction form
    430,154.40/646,164.72 = 414,408/x
  3. Step 3: Cross multiply
    430,154.40x = 646,164.72 × 414,408
  4. Step 4: Simplify right side
    430,154.40x = 267,775,829,285.76
  5. Step 5: Solve for x
    x = 267,775,829,285.76/430,154.40
  6. Step 6: Final answer
    x = 622,510.96

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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.