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Finding the Fourth Proportional to 517,116.51, 713,329.20 and 310,332.02

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Solution

The fourth proportional to 517,116.51, 713,329.20 and 310,332.02 is: 428,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,116.51 : 713,329.20 = 310,332.02 : x
  2. Step 2: Convert to fraction form
    517,116.51/713,329.20 = 310,332.02/x
  3. Step 3: Cross multiply
    517,116.51x = 713,329.20 × 310,332.02
  4. Step 4: Simplify right side
    517,116.51x = 221,368,887,994.34
  5. Step 5: Solve for x
    x = 221,368,887,994.34/517,116.51
  6. Step 6: Final answer
    x = 428,083.20

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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.