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Finding the Fourth Proportional to 472,461.66, 707,890.59 and 285,079.50

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Solution

The fourth proportional to 472,461.66, 707,890.59 and 285,079.50 is: 427,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,461.66 : 707,890.59 = 285,079.50 : x
  2. Step 2: Convert to fraction form
    472,461.66/707,890.59 = 285,079.50/x
  3. Step 3: Cross multiply
    472,461.66x = 707,890.59 × 285,079.50
  4. Step 4: Simplify right side
    472,461.66x = 201,805,095,451.91
  5. Step 5: Solve for x
    x = 201,805,095,451.91/472,461.66
  6. Step 6: Final answer
    x = 427,135.39

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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.