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Finding the Fourth Proportional to 434,590.20, 651,666.60 and 257,151.60

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Solution

The fourth proportional to 434,590.20, 651,666.60 and 257,151.60 is: 385,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,590.20 : 651,666.60 = 257,151.60 : x
  2. Step 2: Convert to fraction form
    434,590.20/651,666.60 = 257,151.60/x
  3. Step 3: Cross multiply
    434,590.20x = 651,666.60 × 257,151.60
  4. Step 4: Simplify right side
    434,590.20x = 167,577,108,856.56
  5. Step 5: Solve for x
    x = 167,577,108,856.56/434,590.20
  6. Step 6: Final answer
    x = 385,597.99

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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.