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Finding the Fourth Proportional to 514,072.94, 709,429.50 and 281,520.35

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Solution

The fourth proportional to 514,072.94, 709,429.50 and 281,520.35 is: 388,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,072.94 : 709,429.50 = 281,520.35 : x
  2. Step 2: Convert to fraction form
    514,072.94/709,429.50 = 281,520.35/x
  3. Step 3: Cross multiply
    514,072.94x = 709,429.50 × 281,520.35
  4. Step 4: Simplify right side
    514,072.94x = 199,718,837,593.18
  5. Step 5: Solve for x
    x = 199,718,837,593.18/514,072.94
  6. Step 6: Final answer
    x = 388,502.92

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1.5x scale

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.