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Finding the Fourth Proportional to 782,130, 1,079,339.40 and 424,434

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Solution

The fourth proportional to 782,130, 1,079,339.40 and 424,434 is: 585,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,130 : 1,079,339.40 = 424,434 : x
  2. Step 2: Convert to fraction form
    782,130/1,079,339.40 = 424,434/x
  3. Step 3: Cross multiply
    782,130x = 1,079,339.40 × 424,434
  4. Step 4: Simplify right side
    782,130x = 458,108,338,899.60
  5. Step 5: Solve for x
    x = 458,108,338,899.60/782,130
  6. Step 6: Final answer
    x = 585,718.92

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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.