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Finding the Fourth Proportional to 464,490.90, 640,994.76 and 257,757.21

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Solution

The fourth proportional to 464,490.90, 640,994.76 and 257,757.21 is: 355,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,490.90 : 640,994.76 = 257,757.21 : x
  2. Step 2: Convert to fraction form
    464,490.90/640,994.76 = 257,757.21/x
  3. Step 3: Cross multiply
    464,490.90x = 640,994.76 × 257,757.21
  4. Step 4: Simplify right side
    464,490.90x = 165,221,020,962.22
  5. Step 5: Solve for x
    x = 165,221,020,962.22/464,490.90
  6. Step 6: Final answer
    x = 355,703.46

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1.5x scale

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.