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Finding the Fourth Proportional to 457,405.64, 631,210.35 and 253,454.77

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Solution

The fourth proportional to 457,405.64, 631,210.35 and 253,454.77 is: 349,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,405.64 : 631,210.35 = 253,454.77 : x
  2. Step 2: Convert to fraction form
    457,405.64/631,210.35 = 253,454.77/x
  3. Step 3: Cross multiply
    457,405.64x = 631,210.35 × 253,454.77
  4. Step 4: Simplify right side
    457,405.64x = 159,983,274,080.87
  5. Step 5: Solve for x
    x = 159,983,274,080.87/457,405.64
  6. Step 6: Final answer
    x = 349,762.36

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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.