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Finding the Fourth Proportional to 514,458.10, 709,952.74 and 288,103.60

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Solution

The fourth proportional to 514,458.10, 709,952.74 and 288,103.60 is: 397,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,458.10 : 709,952.74 = 288,103.60 : x
  2. Step 2: Convert to fraction form
    514,458.10/709,952.74 = 288,103.60/x
  3. Step 3: Cross multiply
    514,458.10x = 709,952.74 × 288,103.60
  4. Step 4: Simplify right side
    514,458.10x = 204,539,940,223.86
  5. Step 5: Solve for x
    x = 204,539,940,223.86/514,458.10
  6. Step 6: Final answer
    x = 397,583.28

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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.