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Finding the Fourth Proportional to 514,915.25, 710,605.52 and 285,457.94

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Solution

The fourth proportional to 514,915.25, 710,605.52 and 285,457.94 is: 393,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,915.25 : 710,605.52 = 285,457.94 : x
  2. Step 2: Convert to fraction form
    514,915.25/710,605.52 = 285,457.94/x
  3. Step 3: Cross multiply
    514,915.25x = 710,605.52 × 285,457.94
  4. Step 4: Simplify right side
    514,915.25x = 202,847,987,891.83
  5. Step 5: Solve for x
    x = 202,847,987,891.83/514,915.25
  6. Step 6: Final answer
    x = 393,944.42

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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.