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Finding the Fourth Proportional to 514,138.19, 709,290.68 and 310,073.00

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Solution

The fourth proportional to 514,138.19, 709,290.68 and 310,073.00 is: 427,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,138.19 : 709,290.68 = 310,073.00 : x
  2. Step 2: Convert to fraction form
    514,138.19/709,290.68 = 310,073.00/x
  3. Step 3: Cross multiply
    514,138.19x = 709,290.68 × 310,073.00
  4. Step 4: Simplify right side
    514,138.19x = 219,931,883,922.82
  5. Step 5: Solve for x
    x = 219,931,883,922.82/514,138.19
  6. Step 6: Final answer
    x = 427,768.04

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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.