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Finding the Fourth Proportional to 399,218.60, 597,953.10 and 346,730.60

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Solution

The fourth proportional to 399,218.60, 597,953.10 and 346,730.60 is: 519,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,218.60 : 597,953.10 = 346,730.60 : x
  2. Step 2: Convert to fraction form
    399,218.60/597,953.10 = 346,730.60/x
  3. Step 3: Cross multiply
    399,218.60x = 597,953.10 × 346,730.60
  4. Step 4: Simplify right side
    399,218.60x = 207,328,637,134.86
  5. Step 5: Solve for x
    x = 207,328,637,134.86/399,218.60
  6. Step 6: Final answer
    x = 519,336.12

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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.