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Finding the Fourth Proportional to 545,084.36, 817,564.12 and 145,756.24

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Solution

The fourth proportional to 545,084.36, 817,564.12 and 145,756.24 is: 218,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,084.36 : 817,564.12 = 145,756.24 : x
  2. Step 2: Convert to fraction form
    545,084.36/817,564.12 = 145,756.24/x
  3. Step 3: Cross multiply
    545,084.36x = 817,564.12 × 145,756.24
  4. Step 4: Simplify right side
    545,084.36x = 119,165,072,090.11
  5. Step 5: Solve for x
    x = 119,165,072,090.11/545,084.36
  6. Step 6: Final answer
    x = 218,617.67

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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.