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Finding the Fourth Proportional to 684,257.32, 944,237.01 and 378,316

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Solution

The fourth proportional to 684,257.32, 944,237.01 and 378,316 is: 522,055.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,257.32 : 944,237.01 = 378,316 : x
  2. Step 2: Convert to fraction form
    684,257.32/944,237.01 = 378,316/x
  3. Step 3: Cross multiply
    684,257.32x = 944,237.01 × 378,316
  4. Step 4: Simplify right side
    684,257.32x = 357,219,968,675.16
  5. Step 5: Solve for x
    x = 357,219,968,675.16/684,257.32
  6. Step 6: Final answer
    x = 522,055.02

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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.