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Finding the Fourth Proportional to 553,438.56, 830,158.08 and 427,263.08

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Solution

The fourth proportional to 553,438.56, 830,158.08 and 427,263.08 is: 640,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,438.56 : 830,158.08 = 427,263.08 : x
  2. Step 2: Convert to fraction form
    553,438.56/830,158.08 = 427,263.08/x
  3. Step 3: Cross multiply
    553,438.56x = 830,158.08 × 427,263.08
  4. Step 4: Simplify right side
    553,438.56x = 354,695,898,147.69
  5. Step 5: Solve for x
    x = 354,695,898,147.69/553,438.56
  6. Step 6: Final answer
    x = 640,894.81

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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.