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Finding the Fourth Proportional to 730,298, 1,007,804.36 and 408,063.60

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Solution

The fourth proportional to 730,298, 1,007,804.36 and 408,063.60 is: 563,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,298 : 1,007,804.36 = 408,063.60 : x
  2. Step 2: Convert to fraction form
    730,298/1,007,804.36 = 408,063.60/x
  3. Step 3: Cross multiply
    730,298x = 1,007,804.36 × 408,063.60
  4. Step 4: Simplify right side
    730,298x = 411,248,275,237.30
  5. Step 5: Solve for x
    x = 411,248,275,237.30/730,298
  6. Step 6: Final answer
    x = 563,123.92

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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.