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Finding the Fourth Proportional to 306,430.40, 459,328.58 and 116,839.76

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Solution

The fourth proportional to 306,430.40, 459,328.58 and 116,839.76 is: 175,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,430.40 : 459,328.58 = 116,839.76 : x
  2. Step 2: Convert to fraction form
    306,430.40/459,328.58 = 116,839.76/x
  3. Step 3: Cross multiply
    306,430.40x = 459,328.58 × 116,839.76
  4. Step 4: Simplify right side
    306,430.40x = 53,667,841,048.34
  5. Step 5: Solve for x
    x = 53,667,841,048.34/306,430.40
  6. Step 6: Final answer
    x = 175,138.76

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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.