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Finding the Fourth Proportional to 517,802.67, 714,522.20 and 288,342.63

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Solution

The fourth proportional to 517,802.67, 714,522.20 and 288,342.63 is: 397,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,802.67 : 714,522.20 = 288,342.63 : x
  2. Step 2: Convert to fraction form
    517,802.67/714,522.20 = 288,342.63/x
  3. Step 3: Cross multiply
    517,802.67x = 714,522.20 × 288,342.63
  4. Step 4: Simplify right side
    517,802.67x = 206,027,208,899.67
  5. Step 5: Solve for x
    x = 206,027,208,899.67/517,802.67
  6. Step 6: Final answer
    x = 397,887.50

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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.