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Finding the Fourth Proportional to 686,713.14, 947,675.48 and 380,802.42

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Solution

The fourth proportional to 686,713.14, 947,675.48 and 380,802.42 is: 525,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,713.14 : 947,675.48 = 380,802.42 : x
  2. Step 2: Convert to fraction form
    686,713.14/947,675.48 = 380,802.42/x
  3. Step 3: Cross multiply
    686,713.14x = 947,675.48 × 380,802.42
  4. Step 4: Simplify right side
    686,713.14x = 360,877,114,254.65
  5. Step 5: Solve for x
    x = 360,877,114,254.65/686,713.14
  6. Step 6: Final answer
    x = 525,513.63

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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.