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Finding the Fourth Proportional to 514,825.80, 710,464.32 and 285,385.56

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Solution

The fourth proportional to 514,825.80, 710,464.32 and 285,385.56 is: 393,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,825.80 : 710,464.32 = 285,385.56 : x
  2. Step 2: Convert to fraction form
    514,825.80/710,464.32 = 285,385.56/x
  3. Step 3: Cross multiply
    514,825.80x = 710,464.32 × 285,385.56
  4. Step 4: Simplify right side
    514,825.80x = 202,756,257,823.22
  5. Step 5: Solve for x
    x = 202,756,257,823.22/514,825.80
  6. Step 6: Final answer
    x = 393,834.69

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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.