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Finding the Fourth Proportional to 509,934.30, 765,010.80 and 154,984.20

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Solution

The fourth proportional to 509,934.30, 765,010.80 and 154,984.20 is: 232,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,934.30 : 765,010.80 = 154,984.20 : x
  2. Step 2: Convert to fraction form
    509,934.30/765,010.80 = 154,984.20/x
  3. Step 3: Cross multiply
    509,934.30x = 765,010.80 × 154,984.20
  4. Step 4: Simplify right side
    509,934.30x = 118,564,586,829.36
  5. Step 5: Solve for x
    x = 118,564,586,829.36/509,934.30
  6. Step 6: Final answer
    x = 232,509.53

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1.5x scale

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.