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Finding the Fourth Proportional to 658,465.80, 987,698.70 and 492,577.80

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Solution

The fourth proportional to 658,465.80, 987,698.70 and 492,577.80 is: 738,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,465.80 : 987,698.70 = 492,577.80 : x
  2. Step 2: Convert to fraction form
    658,465.80/987,698.70 = 492,577.80/x
  3. Step 3: Cross multiply
    658,465.80x = 987,698.70 × 492,577.80
  4. Step 4: Simplify right side
    658,465.80x = 486,518,452,708.86
  5. Step 5: Solve for x
    x = 486,518,452,708.86/658,465.80
  6. Step 6: Final answer
    x = 738,866.70

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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.