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Finding the Fourth Proportional to 790,274, 1,090,595.40 and 432,578

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Solution

The fourth proportional to 790,274, 1,090,595.40 and 432,578 is: 596,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,274 : 1,090,595.40 = 432,578 : x
  2. Step 2: Convert to fraction form
    790,274/1,090,595.40 = 432,578/x
  3. Step 3: Cross multiply
    790,274x = 1,090,595.40 × 432,578
  4. Step 4: Simplify right side
    790,274x = 471,767,576,941.20
  5. Step 5: Solve for x
    x = 471,767,576,941.20/790,274
  6. Step 6: Final answer
    x = 596,967.10

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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.