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Finding the Fourth Proportional to 509,934.80, 765,193.80 and 352,276.40

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Solution

The fourth proportional to 509,934.80, 765,193.80 and 352,276.40 is: 528,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,934.80 : 765,193.80 = 352,276.40 : x
  2. Step 2: Convert to fraction form
    509,934.80/765,193.80 = 352,276.40/x
  3. Step 3: Cross multiply
    509,934.80x = 765,193.80 × 352,276.40
  4. Step 4: Simplify right side
    509,934.80x = 269,559,717,166.32
  5. Step 5: Solve for x
    x = 269,559,717,166.32/509,934.80
  6. Step 6: Final answer
    x = 528,616.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.