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Finding the Fourth Proportional to 601,605.12, 830,215.20 and 359,897.76

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Solution

The fourth proportional to 601,605.12, 830,215.20 and 359,897.76 is: 496,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,605.12 : 830,215.20 = 359,897.76 : x
  2. Step 2: Convert to fraction form
    601,605.12/830,215.20 = 359,897.76/x
  3. Step 3: Cross multiply
    601,605.12x = 830,215.20 × 359,897.76
  4. Step 4: Simplify right side
    601,605.12x = 298,792,590,797.95
  5. Step 5: Solve for x
    x = 298,792,590,797.95/601,605.12
  6. Step 6: Final answer
    x = 496,658.99

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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.