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Finding the Fourth Proportional to 659,497.20, 989,051.40 and 260,005.20

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Solution

The fourth proportional to 659,497.20, 989,051.40 and 260,005.20 is: 389,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,497.20 : 989,051.40 = 260,005.20 : x
  2. Step 2: Convert to fraction form
    659,497.20/989,051.40 = 260,005.20/x
  3. Step 3: Cross multiply
    659,497.20x = 989,051.40 × 260,005.20
  4. Step 4: Simplify right side
    659,497.20x = 257,158,507,067.28
  5. Step 5: Solve for x
    x = 257,158,507,067.28/659,497.20
  6. Step 6: Final answer
    x = 389,931.16

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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.