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Finding the Fourth Proportional to 399,605.85, 596,493.72 and 349,159.94

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Solution

The fourth proportional to 399,605.85, 596,493.72 and 349,159.94 is: 521,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,605.85 : 596,493.72 = 349,159.94 : x
  2. Step 2: Convert to fraction form
    399,605.85/596,493.72 = 349,159.94/x
  3. Step 3: Cross multiply
    399,605.85x = 596,493.72 × 349,159.94
  4. Step 4: Simplify right side
    399,605.85x = 208,271,708,503.11
  5. Step 5: Solve for x
    x = 208,271,708,503.11/399,605.85
  6. Step 6: Final answer
    x = 521,192.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.