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Finding the Fourth Proportional to 659,873.80, 989,810.70 and 493,985.80

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Solution

The fourth proportional to 659,873.80, 989,810.70 and 493,985.80 is: 740,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,873.80 : 989,810.70 = 493,985.80 : x
  2. Step 2: Convert to fraction form
    659,873.80/989,810.70 = 493,985.80/x
  3. Step 3: Cross multiply
    659,873.80x = 989,810.70 × 493,985.80
  4. Step 4: Simplify right side
    659,873.80x = 488,952,430,488.06
  5. Step 5: Solve for x
    x = 488,952,430,488.06/659,873.80
  6. Step 6: Final answer
    x = 740,978.70

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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.