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Finding the Fourth Proportional to 472,730.08, 709,101.32 and 157,187

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Solution

The fourth proportional to 472,730.08, 709,101.32 and 157,187 is: 235,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,730.08 : 709,101.32 = 157,187 : x
  2. Step 2: Convert to fraction form
    472,730.08/709,101.32 = 157,187/x
  3. Step 3: Cross multiply
    472,730.08x = 709,101.32 × 157,187
  4. Step 4: Simplify right side
    472,730.08x = 111,461,509,186.84
  5. Step 5: Solve for x
    x = 111,461,509,186.84/472,730.08
  6. Step 6: Final answer
    x = 235,782.56

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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.