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Finding the Fourth Proportional to 305,746.74, 458,152.53 and 128,156.94

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Solution

The fourth proportional to 305,746.74, 458,152.53 and 128,156.94 is: 192,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,746.74 : 458,152.53 = 128,156.94 : x
  2. Step 2: Convert to fraction form
    305,746.74/458,152.53 = 128,156.94/x
  3. Step 3: Cross multiply
    305,746.74x = 458,152.53 × 128,156.94
  4. Step 4: Simplify right side
    305,746.74x = 58,715,426,298.06
  5. Step 5: Solve for x
    x = 58,715,426,298.06/305,746.74
  6. Step 6: Final answer
    x = 192,039.42

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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.