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Finding the Fourth Proportional to 464,135.40, 640,449.59 and 282,781.26

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Solution

The fourth proportional to 464,135.40, 640,449.59 and 282,781.26 is: 390,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,135.40 : 640,449.59 = 282,781.26 : x
  2. Step 2: Convert to fraction form
    464,135.40/640,449.59 = 282,781.26/x
  3. Step 3: Cross multiply
    464,135.40x = 640,449.59 × 282,781.26
  4. Step 4: Simplify right side
    464,135.40x = 181,107,140,612.78
  5. Step 5: Solve for x
    x = 181,107,140,612.78/464,135.40
  6. Step 6: Final answer
    x = 390,203.25

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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.