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Finding the Fourth Proportional to 434,030.80, 650,009.40 and 266,069.20

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Solution

The fourth proportional to 434,030.80, 650,009.40 and 266,069.20 is: 398,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,030.80 : 650,009.40 = 266,069.20 : x
  2. Step 2: Convert to fraction form
    434,030.80/650,009.40 = 266,069.20/x
  3. Step 3: Cross multiply
    434,030.80x = 650,009.40 × 266,069.20
  4. Step 4: Simplify right side
    434,030.80x = 172,947,481,050.48
  5. Step 5: Solve for x
    x = 172,947,481,050.48/434,030.80
  6. Step 6: Final answer
    x = 398,468.22

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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.