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Finding the Fourth Proportional to 305,900.31, 458,916.02 and 128,304.98

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Solution

The fourth proportional to 305,900.31, 458,916.02 and 128,304.98 is: 192,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,900.31 : 458,916.02 = 128,304.98 : x
  2. Step 2: Convert to fraction form
    305,900.31/458,916.02 = 128,304.98/x
  3. Step 3: Cross multiply
    305,900.31x = 458,916.02 × 128,304.98
  4. Step 4: Simplify right side
    305,900.31x = 58,881,207,831.67
  5. Step 5: Solve for x
    x = 58,881,207,831.67/305,900.31
  6. Step 6: Final answer
    x = 192,484.96

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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.