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Finding the Fourth Proportional to 517,358.61, 713,968.50 and 287,931.36

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Solution

The fourth proportional to 517,358.61, 713,968.50 and 287,931.36 is: 397,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,358.61 : 713,968.50 = 287,931.36 : x
  2. Step 2: Convert to fraction form
    517,358.61/713,968.50 = 287,931.36/x
  3. Step 3: Cross multiply
    517,358.61x = 713,968.50 × 287,931.36
  4. Step 4: Simplify right side
    517,358.61x = 205,573,921,202.16
  5. Step 5: Solve for x
    x = 205,573,921,202.16/517,358.61
  6. Step 6: Final answer
    x = 397,352.86

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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.