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Finding the Fourth Proportional to 464,335.80, 640,511.91 and 291,980.98

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Solution

The fourth proportional to 464,335.80, 640,511.91 and 291,980.98 is: 402,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,335.80 : 640,511.91 = 291,980.98 : x
  2. Step 2: Convert to fraction form
    464,335.80/640,511.91 = 291,980.98/x
  3. Step 3: Cross multiply
    464,335.80x = 640,511.91 × 291,980.98
  4. Step 4: Simplify right side
    464,335.80x = 187,017,297,079.04
  5. Step 5: Solve for x
    x = 187,017,297,079.04/464,335.80
  6. Step 6: Final answer
    x = 402,763.04

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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.