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Finding the Fourth Proportional to 399,605.68, 596,493.55 and 349,159.78

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Solution

The fourth proportional to 399,605.68, 596,493.55 and 349,159.78 is: 521,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,605.68 : 596,493.55 = 349,159.78 : x
  2. Step 2: Convert to fraction form
    399,605.68/596,493.55 = 349,159.78/x
  3. Step 3: Cross multiply
    399,605.68x = 596,493.55 × 349,159.78
  4. Step 4: Simplify right side
    399,605.68x = 208,271,556,689.42
  5. Step 5: Solve for x
    x = 208,271,556,689.42/399,605.68
  6. Step 6: Final answer
    x = 521,192.68

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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.