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Finding the Fourth Proportional to 309,021.76, 462,748.56 and 258,970.24

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Solution

The fourth proportional to 309,021.76, 462,748.56 and 258,970.24 is: 387,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,021.76 : 462,748.56 = 258,970.24 : x
  2. Step 2: Convert to fraction form
    309,021.76/462,748.56 = 258,970.24/x
  3. Step 3: Cross multiply
    309,021.76x = 462,748.56 × 258,970.24
  4. Step 4: Simplify right side
    309,021.76x = 119,838,105,642.85
  5. Step 5: Solve for x
    x = 119,838,105,642.85/309,021.76
  6. Step 6: Final answer
    x = 387,798.28

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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.