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Finding the Fourth Proportional to 464,208.96, 640,804.32 and 313,510.08

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Solution

The fourth proportional to 464,208.96, 640,804.32 and 313,510.08 is: 432,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,208.96 : 640,804.32 = 313,510.08 : x
  2. Step 2: Convert to fraction form
    464,208.96/640,804.32 = 313,510.08/x
  3. Step 3: Cross multiply
    464,208.96x = 640,804.32 × 313,510.08
  4. Step 4: Simplify right side
    464,208.96x = 200,898,613,627.55
  5. Step 5: Solve for x
    x = 200,898,613,627.55/464,208.96
  6. Step 6: Final answer
    x = 432,776.25

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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.