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Finding the Fourth Proportional to 560,323.17, 840,371.76 and 205,215.93

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Solution

The fourth proportional to 560,323.17, 840,371.76 and 205,215.93 is: 307,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,323.17 : 840,371.76 = 205,215.93 : x
  2. Step 2: Convert to fraction form
    560,323.17/840,371.76 = 205,215.93/x
  3. Step 3: Cross multiply
    560,323.17x = 840,371.76 × 205,215.93
  4. Step 4: Simplify right side
    560,323.17x = 172,457,672,274.14
  5. Step 5: Solve for x
    x = 172,457,672,274.14/560,323.17
  6. Step 6: Final answer
    x = 307,782.51

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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.