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Finding the Fourth Proportional to 514,435, 709,920.66 and 288,085.72

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Solution

The fourth proportional to 514,435, 709,920.66 and 288,085.72 is: 397,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,435 : 709,920.66 = 288,085.72 : x
  2. Step 2: Convert to fraction form
    514,435/709,920.66 = 288,085.72/x
  3. Step 3: Cross multiply
    514,435x = 709,920.66 × 288,085.72
  4. Step 4: Simplify right side
    514,435x = 204,518,004,478.98
  5. Step 5: Solve for x
    x = 204,518,004,478.98/514,435
  6. Step 6: Final answer
    x = 397,558.50

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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.