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Finding the Fourth Proportional to 642,490.32, 963,567.54 and 193,090.98

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Solution

The fourth proportional to 642,490.32, 963,567.54 and 193,090.98 is: 289,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,490.32 : 963,567.54 = 193,090.98 : x
  2. Step 2: Convert to fraction form
    642,490.32/963,567.54 = 193,090.98/x
  3. Step 3: Cross multiply
    642,490.32x = 963,567.54 × 193,090.98
  4. Step 4: Simplify right side
    642,490.32x = 186,056,200,594.79
  5. Step 5: Solve for x
    x = 186,056,200,594.79/642,490.32
  6. Step 6: Final answer
    x = 289,586.00

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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.