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Finding the Fourth Proportional to 434,543.10, 651,879.45 and 154,038.30

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Solution

The fourth proportional to 434,543.10, 651,879.45 and 154,038.30 is: 231,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,543.10 : 651,879.45 = 154,038.30 : x
  2. Step 2: Convert to fraction form
    434,543.10/651,879.45 = 154,038.30/x
  3. Step 3: Cross multiply
    434,543.10x = 651,879.45 × 154,038.30
  4. Step 4: Simplify right side
    434,543.10x = 100,414,402,282.94
  5. Step 5: Solve for x
    x = 100,414,402,282.94/434,543.10
  6. Step 6: Final answer
    x = 231,080.42

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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.