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Finding the Fourth Proportional to 472,400.10, 708,643.35 and 191,859.30

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Solution

The fourth proportional to 472,400.10, 708,643.35 and 191,859.30 is: 287,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,400.10 : 708,643.35 = 191,859.30 : x
  2. Step 2: Convert to fraction form
    472,400.10/708,643.35 = 191,859.30/x
  3. Step 3: Cross multiply
    472,400.10x = 708,643.35 × 191,859.30
  4. Step 4: Simplify right side
    472,400.10x = 135,959,817,080.66
  5. Step 5: Solve for x
    x = 135,959,817,080.66/472,400.10
  6. Step 6: Final answer
    x = 287,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.