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Finding the Fourth Proportional to 704,327.94, 971,989.20 and 428,590.98

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Solution

The fourth proportional to 704,327.94, 971,989.20 and 428,590.98 is: 591,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,327.94 : 971,989.20 = 428,590.98 : x
  2. Step 2: Convert to fraction form
    704,327.94/971,989.20 = 428,590.98/x
  3. Step 3: Cross multiply
    704,327.94x = 971,989.20 × 428,590.98
  4. Step 4: Simplify right side
    704,327.94x = 416,585,803,777.42
  5. Step 5: Solve for x
    x = 416,585,803,777.42/704,327.94
  6. Step 6: Final answer
    x = 591,465.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.