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Finding the Fourth Proportional to 514,429.64, 709,950.30 and 310,530.23

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Solution

The fourth proportional to 514,429.64, 709,950.30 and 310,530.23 is: 428,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,429.64 : 709,950.30 = 310,530.23 : x
  2. Step 2: Convert to fraction form
    514,429.64/709,950.30 = 310,530.23/x
  3. Step 3: Cross multiply
    514,429.64x = 709,950.30 × 310,530.23
  4. Step 4: Simplify right side
    514,429.64x = 220,461,029,947.57
  5. Step 5: Solve for x
    x = 220,461,029,947.57/514,429.64
  6. Step 6: Final answer
    x = 428,554.29

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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.