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Finding the Fourth Proportional to 430,625.80, 645,938.70 and 411,272.20

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Solution

The fourth proportional to 430,625.80, 645,938.70 and 411,272.20 is: 616,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,625.80 : 645,938.70 = 411,272.20 : x
  2. Step 2: Convert to fraction form
    430,625.80/645,938.70 = 411,272.20/x
  3. Step 3: Cross multiply
    430,625.80x = 645,938.70 × 411,272.20
  4. Step 4: Simplify right side
    430,625.80x = 265,656,630,214.14
  5. Step 5: Solve for x
    x = 265,656,630,214.14/430,625.80
  6. Step 6: Final answer
    x = 616,908.30

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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.