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Finding the Fourth Proportional to 472,947.04, 708,804.48 and 192,136

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Solution

The fourth proportional to 472,947.04, 708,804.48 and 192,136 is: 287,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,947.04 : 708,804.48 = 192,136 : x
  2. Step 2: Convert to fraction form
    472,947.04/708,804.48 = 192,136/x
  3. Step 3: Cross multiply
    472,947.04x = 708,804.48 × 192,136
  4. Step 4: Simplify right side
    472,947.04x = 136,186,857,569.28
  5. Step 5: Solve for x
    x = 136,186,857,569.28/472,947.04
  6. Step 6: Final answer
    x = 287,953.72

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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.