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Finding the Fourth Proportional to 306,117.20, 459,248.70 and 128,532.80

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Solution

The fourth proportional to 306,117.20, 459,248.70 and 128,532.80 is: 192,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,117.20 : 459,248.70 = 128,532.80 : x
  2. Step 2: Convert to fraction form
    306,117.20/459,248.70 = 128,532.80/x
  3. Step 3: Cross multiply
    306,117.20x = 459,248.70 × 128,532.80
  4. Step 4: Simplify right side
    306,117.20x = 59,028,521,307.36
  5. Step 5: Solve for x
    x = 59,028,521,307.36/306,117.20
  6. Step 6: Final answer
    x = 192,829.81

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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.