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Finding the Fourth Proportional to 472,030.21, 707,946.90 and 172,651.78

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Solution

The fourth proportional to 472,030.21, 707,946.90 and 172,651.78 is: 258,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,030.21 : 707,946.90 = 172,651.78 : x
  2. Step 2: Convert to fraction form
    472,030.21/707,946.90 = 172,651.78/x
  3. Step 3: Cross multiply
    472,030.21x = 707,946.90 × 172,651.78
  4. Step 4: Simplify right side
    472,030.21x = 122,228,292,430.48
  5. Step 5: Solve for x
    x = 122,228,292,430.48/472,030.21
  6. Step 6: Final answer
    x = 258,941.67

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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.