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Finding the Fourth Proportional to 469,911.16, 648,490.14 and 255,051.64

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Solution

The fourth proportional to 469,911.16, 648,490.14 and 255,051.64 is: 351,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,911.16 : 648,490.14 = 255,051.64 : x
  2. Step 2: Convert to fraction form
    469,911.16/648,490.14 = 255,051.64/x
  3. Step 3: Cross multiply
    469,911.16x = 648,490.14 × 255,051.64
  4. Step 4: Simplify right side
    469,911.16x = 165,398,473,730.83
  5. Step 5: Solve for x
    x = 165,398,473,730.83/469,911.16
  6. Step 6: Final answer
    x = 351,978.18

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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.