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Finding the Fourth Proportional to 456,643.86, 630,159.12 and 252,694.65

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Solution

The fourth proportional to 456,643.86, 630,159.12 and 252,694.65 is: 348,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,643.86 : 630,159.12 = 252,694.65 : x
  2. Step 2: Convert to fraction form
    456,643.86/630,159.12 = 252,694.65/x
  3. Step 3: Cross multiply
    456,643.86x = 630,159.12 × 252,694.65
  4. Step 4: Simplify right side
    456,643.86x = 159,237,838,272.71
  5. Step 5: Solve for x
    x = 159,237,838,272.71/456,643.86
  6. Step 6: Final answer
    x = 348,713.41

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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.