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Finding the Fourth Proportional to 838,071.80, 1,155,735 and 563,051

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Solution

The fourth proportional to 838,071.80, 1,155,735 and 563,051 is: 776,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,071.80 : 1,155,735 = 563,051 : x
  2. Step 2: Convert to fraction form
    838,071.80/1,155,735 = 563,051/x
  3. Step 3: Cross multiply
    838,071.80x = 1,155,735 × 563,051
  4. Step 4: Simplify right side
    838,071.80x = 650,737,747,485
  5. Step 5: Solve for x
    x = 650,737,747,485/838,071.80
  6. Step 6: Final answer
    x = 776,470.16

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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.