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Finding the Fourth Proportional to 642,347.19, 963,445.72 and 258,080.47

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Solution

The fourth proportional to 642,347.19, 963,445.72 and 258,080.47 is: 387,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,347.19 : 963,445.72 = 258,080.47 : x
  2. Step 2: Convert to fraction form
    642,347.19/963,445.72 = 258,080.47/x
  3. Step 3: Cross multiply
    642,347.19x = 963,445.72 × 258,080.47
  4. Step 4: Simplify right side
    642,347.19x = 248,646,519,586.49
  5. Step 5: Solve for x
    x = 248,646,519,586.49/642,347.19
  6. Step 6: Final answer
    x = 387,090.54

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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.