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Finding the Fourth Proportional to 306,002.70, 458,688.15 and 137,603.70

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Solution

The fourth proportional to 306,002.70, 458,688.15 and 137,603.70 is: 206,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,002.70 : 458,688.15 = 137,603.70 : x
  2. Step 2: Convert to fraction form
    306,002.70/458,688.15 = 137,603.70/x
  3. Step 3: Cross multiply
    306,002.70x = 458,688.15 × 137,603.70
  4. Step 4: Simplify right side
    306,002.70x = 63,117,186,586.16
  5. Step 5: Solve for x
    x = 63,117,186,586.16/306,002.70
  6. Step 6: Final answer
    x = 206,263.50

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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.