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Finding the Fourth Proportional to 713,069.20, 1,069,085.40 and 292,128.40

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Solution

The fourth proportional to 713,069.20, 1,069,085.40 and 292,128.40 is: 437,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,069.20 : 1,069,085.40 = 292,128.40 : x
  2. Step 2: Convert to fraction form
    713,069.20/1,069,085.40 = 292,128.40/x
  3. Step 3: Cross multiply
    713,069.20x = 1,069,085.40 × 292,128.40
  4. Step 4: Simplify right side
    713,069.20x = 312,310,207,365.36
  5. Step 5: Solve for x
    x = 312,310,207,365.36/713,069.20
  6. Step 6: Final answer
    x = 437,980.22

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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.