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Finding the Fourth Proportional to 472,417.90, 708,419.07 and 172,820.77

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Solution

The fourth proportional to 472,417.90, 708,419.07 and 172,820.77 is: 259,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,417.90 : 708,419.07 = 172,820.77 : x
  2. Step 2: Convert to fraction form
    472,417.90/708,419.07 = 172,820.77/x
  3. Step 3: Cross multiply
    472,417.90x = 708,419.07 × 172,820.77
  4. Step 4: Simplify right side
    472,417.90x = 122,429,529,160.08
  5. Step 5: Solve for x
    x = 122,429,529,160.08/472,417.90
  6. Step 6: Final answer
    x = 259,155.14

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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.