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Finding the Fourth Proportional to 782,106.63, 1,079,307.14 and 424,410.63

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Solution

The fourth proportional to 782,106.63, 1,079,307.14 and 424,410.63 is: 585,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,106.63 : 1,079,307.14 = 424,410.63 : x
  2. Step 2: Convert to fraction form
    782,106.63/1,079,307.14 = 424,410.63/x
  3. Step 3: Cross multiply
    782,106.63x = 1,079,307.14 × 424,410.63
  4. Step 4: Simplify right side
    782,106.63x = 458,069,423,250.90
  5. Step 5: Solve for x
    x = 458,069,423,250.90/782,106.63
  6. Step 6: Final answer
    x = 585,686.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.