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Finding the Fourth Proportional to 785,985, 1,084,659.30 and 428,289

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Solution

The fourth proportional to 785,985, 1,084,659.30 and 428,289 is: 591,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,985 : 1,084,659.30 = 428,289 : x
  2. Step 2: Convert to fraction form
    785,985/1,084,659.30 = 428,289/x
  3. Step 3: Cross multiply
    785,985x = 1,084,659.30 × 428,289
  4. Step 4: Simplify right side
    785,985x = 464,547,646,937.70
  5. Step 5: Solve for x
    x = 464,547,646,937.70/785,985
  6. Step 6: Final answer
    x = 591,038.82

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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.