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Finding the Fourth Proportional to 434,077.80, 651,030.30 and 209,437.80

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Solution

The fourth proportional to 434,077.80, 651,030.30 and 209,437.80 is: 314,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,077.80 : 651,030.30 = 209,437.80 : x
  2. Step 2: Convert to fraction form
    434,077.80/651,030.30 = 209,437.80/x
  3. Step 3: Cross multiply
    434,077.80x = 651,030.30 × 209,437.80
  4. Step 4: Simplify right side
    434,077.80x = 136,350,353,765.34
  5. Step 5: Solve for x
    x = 136,350,353,765.34/434,077.80
  6. Step 6: Final answer
    x = 314,115.01

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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.