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Finding the Fourth Proportional to 642,362.18, 963,222.65 and 210,023.32

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Solution

The fourth proportional to 642,362.18, 963,222.65 and 210,023.32 is: 314,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,362.18 : 963,222.65 = 210,023.32 : x
  2. Step 2: Convert to fraction form
    642,362.18/963,222.65 = 210,023.32/x
  3. Step 3: Cross multiply
    642,362.18x = 963,222.65 × 210,023.32
  4. Step 4: Simplify right side
    642,362.18x = 202,299,218,852.20
  5. Step 5: Solve for x
    x = 202,299,218,852.20/642,362.18
  6. Step 6: Final answer
    x = 314,930.15

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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.