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Finding the Fourth Proportional to 434,420.10, 651,662.55 and 153,900.90

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Solution

The fourth proportional to 434,420.10, 651,662.55 and 153,900.90 is: 230,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,420.10 : 651,662.55 = 153,900.90 : x
  2. Step 2: Convert to fraction form
    434,420.10/651,662.55 = 153,900.90/x
  3. Step 3: Cross multiply
    434,420.10x = 651,662.55 × 153,900.90
  4. Step 4: Simplify right side
    434,420.10x = 100,291,452,941.30
  5. Step 5: Solve for x
    x = 100,291,452,941.30/434,420.10
  6. Step 6: Final answer
    x = 230,862.83

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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.