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Finding the Fourth Proportional to 464,300.90, 640,463.00 and 291,945.65

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Solution

The fourth proportional to 464,300.90, 640,463.00 and 291,945.65 is: 402,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,300.90 : 640,463.00 = 291,945.65 : x
  2. Step 2: Convert to fraction form
    464,300.90/640,463.00 = 291,945.65/x
  3. Step 3: Cross multiply
    464,300.90x = 640,463.00 × 291,945.65
  4. Step 4: Simplify right side
    464,300.90x = 186,980,382,173.91
  5. Step 5: Solve for x
    x = 186,980,382,173.91/464,300.90
  6. Step 6: Final answer
    x = 402,713.81

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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.