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Finding the Fourth Proportional to 860,307.80, 1,287,837.30 and 765,829.40

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Solution

The fourth proportional to 860,307.80, 1,287,837.30 and 765,829.40 is: 1,146,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,307.80 : 1,287,837.30 = 765,829.40 : x
  2. Step 2: Convert to fraction form
    860,307.80/1,287,837.30 = 765,829.40/x
  3. Step 3: Cross multiply
    860,307.80x = 1,287,837.30 × 765,829.40
  4. Step 4: Simplify right side
    860,307.80x = 986,263,666,756.62
  5. Step 5: Solve for x
    x = 986,263,666,756.62/860,307.80
  6. Step 6: Final answer
    x = 1,146,407.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.