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Finding the Fourth Proportional to 464,091.59, 640,407.26 and 257,365.91

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Solution

The fourth proportional to 464,091.59, 640,407.26 and 257,365.91 is: 355,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,091.59 : 640,407.26 = 257,365.91 : x
  2. Step 2: Convert to fraction form
    464,091.59/640,407.26 = 257,365.91/x
  3. Step 3: Cross multiply
    464,091.59x = 640,407.26 × 257,365.91
  4. Step 4: Simplify right side
    464,091.59x = 164,818,992,751.64
  5. Step 5: Solve for x
    x = 164,818,992,751.64/464,091.59
  6. Step 6: Final answer
    x = 355,143.25

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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.