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Finding the Fourth Proportional to 472,200, 708,438.36 and 152,345.36

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Solution

The fourth proportional to 472,200, 708,438.36 and 152,345.36 is: 228,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,200 : 708,438.36 = 152,345.36 : x
  2. Step 2: Convert to fraction form
    472,200/708,438.36 = 152,345.36/x
  3. Step 3: Cross multiply
    472,200x = 708,438.36 × 152,345.36
  4. Step 4: Simplify right side
    472,200x = 107,927,296,992.01
  5. Step 5: Solve for x
    x = 107,927,296,992.01/472,200
  6. Step 6: Final answer
    x = 228,562.68

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1.5x scale

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.