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Finding the Fourth Proportional to 586,469.80, 881,454.30 and 509,487.40

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Solution

The fourth proportional to 586,469.80, 881,454.30 and 509,487.40 is: 765,751.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,469.80 : 881,454.30 = 509,487.40 : x
  2. Step 2: Convert to fraction form
    586,469.80/881,454.30 = 509,487.40/x
  3. Step 3: Cross multiply
    586,469.80x = 881,454.30 × 509,487.40
  4. Step 4: Simplify right side
    586,469.80x = 449,089,859,525.82
  5. Step 5: Solve for x
    x = 449,089,859,525.82/586,469.80
  6. Step 6: Final answer
    x = 765,751.04

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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.