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Finding the Fourth Proportional to 499,314.40, 689,048.71 and 284,459.08

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Solution

The fourth proportional to 499,314.40, 689,048.71 and 284,459.08 is: 392,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,314.40 : 689,048.71 = 284,459.08 : x
  2. Step 2: Convert to fraction form
    499,314.40/689,048.71 = 284,459.08/x
  3. Step 3: Cross multiply
    499,314.40x = 689,048.71 × 284,459.08
  4. Step 4: Simplify right side
    499,314.40x = 196,006,162,121.79
  5. Step 5: Solve for x
    x = 196,006,162,121.79/499,314.40
  6. Step 6: Final answer
    x = 392,550.59

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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.