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Finding the Fourth Proportional to 514,081.19, 709,208.69 and 310,018.71

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Solution

The fourth proportional to 514,081.19, 709,208.69 and 310,018.71 is: 427,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,081.19 : 709,208.69 = 310,018.71 : x
  2. Step 2: Convert to fraction form
    514,081.19/709,208.69 = 310,018.71/x
  3. Step 3: Cross multiply
    514,081.19x = 709,208.69 × 310,018.71
  4. Step 4: Simplify right side
    514,081.19x = 219,867,961,644.50
  5. Step 5: Solve for x
    x = 219,867,961,644.50/514,081.19
  6. Step 6: Final answer
    x = 427,691.13

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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.