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Finding the Fourth Proportional to 647,835.40, 971,315.70 and 332,032.60

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Solution

The fourth proportional to 647,835.40, 971,315.70 and 332,032.60 is: 497,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,835.40 : 971,315.70 = 332,032.60 : x
  2. Step 2: Convert to fraction form
    647,835.40/971,315.70 = 332,032.60/x
  3. Step 3: Cross multiply
    647,835.40x = 971,315.70 × 332,032.60
  4. Step 4: Simplify right side
    647,835.40x = 322,508,477,291.82
  5. Step 5: Solve for x
    x = 322,508,477,291.82/647,835.40
  6. Step 6: Final answer
    x = 497,824.72

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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.