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Finding the Fourth Proportional to 753,009, 1,039,159.71 and 413,484.54

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Solution

The fourth proportional to 753,009, 1,039,159.71 and 413,484.54 is: 570,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,009 : 1,039,159.71 = 413,484.54 : x
  2. Step 2: Convert to fraction form
    753,009/1,039,159.71 = 413,484.54/x
  3. Step 3: Cross multiply
    753,009x = 1,039,159.71 × 413,484.54
  4. Step 4: Simplify right side
    753,009x = 429,676,474,675.88
  5. Step 5: Solve for x
    x = 429,676,474,675.88/753,009
  6. Step 6: Final answer
    x = 570,612.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.