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Finding the Fourth Proportional to 399,589.76, 551,068.32 and 312,386.24

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Solution

The fourth proportional to 399,589.76, 551,068.32 and 312,386.24 is: 430,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,589.76 : 551,068.32 = 312,386.24 : x
  2. Step 2: Convert to fraction form
    399,589.76/551,068.32 = 312,386.24/x
  3. Step 3: Cross multiply
    399,589.76x = 551,068.32 × 312,386.24
  4. Step 4: Simplify right side
    399,589.76x = 172,146,160,467.92
  5. Step 5: Solve for x
    x = 172,146,160,467.92/399,589.76
  6. Step 6: Final answer
    x = 430,807.24

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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.