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Finding the Fourth Proportional to 517,417.98, 714,060.29 and 287,989.93

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Solution

The fourth proportional to 517,417.98, 714,060.29 and 287,989.93 is: 397,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,417.98 : 714,060.29 = 287,989.93 : x
  2. Step 2: Convert to fraction form
    517,417.98/714,060.29 = 287,989.93/x
  3. Step 3: Cross multiply
    517,417.98x = 714,060.29 × 287,989.93
  4. Step 4: Simplify right side
    517,417.98x = 205,642,174,545.43
  5. Step 5: Solve for x
    x = 205,642,174,545.43/517,417.98
  6. Step 6: Final answer
    x = 397,439.18

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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.