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Finding the Fourth Proportional to 472,415.10, 708,719.85 and 157,098.30

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Solution

The fourth proportional to 472,415.10, 708,719.85 and 157,098.30 is: 235,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,415.10 : 708,719.85 = 157,098.30 : x
  2. Step 2: Convert to fraction form
    472,415.10/708,719.85 = 157,098.30/x
  3. Step 3: Cross multiply
    472,415.10x = 708,719.85 × 157,098.30
  4. Step 4: Simplify right side
    472,415.10x = 111,338,683,611.26
  5. Step 5: Solve for x
    x = 111,338,683,611.26/472,415.10
  6. Step 6: Final answer
    x = 235,679.77

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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.