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Finding the Fourth Proportional to 472,430.70, 708,646.05 and 172,811.70

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Solution

The fourth proportional to 472,430.70, 708,646.05 and 172,811.70 is: 259,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,430.70 : 708,646.05 = 172,811.70 : x
  2. Step 2: Convert to fraction form
    472,430.70/708,646.05 = 172,811.70/x
  3. Step 3: Cross multiply
    472,430.70x = 708,646.05 × 172,811.70
  4. Step 4: Simplify right side
    472,430.70x = 122,462,328,598.79
  5. Step 5: Solve for x
    x = 122,462,328,598.79/472,430.70
  6. Step 6: Final answer
    x = 259,217.55

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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.