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Finding the Fourth Proportional to 790,276, 1,090,598.16 and 432,580

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Solution

The fourth proportional to 790,276, 1,090,598.16 and 432,580 is: 596,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,276 : 1,090,598.16 = 432,580 : x
  2. Step 2: Convert to fraction form
    790,276/1,090,598.16 = 432,580/x
  3. Step 3: Cross multiply
    790,276x = 1,090,598.16 × 432,580
  4. Step 4: Simplify right side
    790,276x = 471,770,952,052.80
  5. Step 5: Solve for x
    x = 471,770,952,052.80/790,276
  6. Step 6: Final answer
    x = 596,969.86

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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.