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Finding the Fourth Proportional to 407,964, 612,011.57 and 171,374.34

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Solution

The fourth proportional to 407,964, 612,011.57 and 171,374.34 is: 257,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,964 : 612,011.57 = 171,374.34 : x
  2. Step 2: Convert to fraction form
    407,964/612,011.57 = 171,374.34/x
  3. Step 3: Cross multiply
    407,964x = 612,011.57 × 171,374.34
  4. Step 4: Simplify right side
    407,964x = 104,883,078,024.24
  5. Step 5: Solve for x
    x = 104,883,078,024.24/407,964
  6. Step 6: Final answer
    x = 257,089.05

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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.