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Finding the Fourth Proportional to 434,420.80, 651,631.20 and 209,095

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Solution

The fourth proportional to 434,420.80, 651,631.20 and 209,095 is: 313,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,420.80 : 651,631.20 = 209,095 : x
  2. Step 2: Convert to fraction form
    434,420.80/651,631.20 = 209,095/x
  3. Step 3: Cross multiply
    434,420.80x = 651,631.20 × 209,095
  4. Step 4: Simplify right side
    434,420.80x = 136,252,825,764.00
  5. Step 5: Solve for x
    x = 136,252,825,764.00/434,420.80
  6. Step 6: Final answer
    x = 313,642.50

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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.