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Finding the Fourth Proportional to 433,407.30, 650,110.95 and 430,454.85

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Solution

The fourth proportional to 433,407.30, 650,110.95 and 430,454.85 is: 645,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,407.30 : 650,110.95 = 430,454.85 : x
  2. Step 2: Convert to fraction form
    433,407.30/650,110.95 = 430,454.85/x
  3. Step 3: Cross multiply
    433,407.30x = 650,110.95 × 430,454.85
  4. Step 4: Simplify right side
    433,407.30x = 279,843,411,465.61
  5. Step 5: Solve for x
    x = 279,843,411,465.61/433,407.30
  6. Step 6: Final answer
    x = 645,682.28

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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.