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Finding the Fourth Proportional to 659,459.10, 989,516.70 and 260,112.90

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Solution

The fourth proportional to 659,459.10, 989,516.70 and 260,112.90 is: 390,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,459.10 : 989,516.70 = 260,112.90 : x
  2. Step 2: Convert to fraction form
    659,459.10/989,516.70 = 260,112.90/x
  3. Step 3: Cross multiply
    659,459.10x = 989,516.70 × 260,112.90
  4. Step 4: Simplify right side
    659,459.10x = 257,386,058,435.43
  5. Step 5: Solve for x
    x = 257,386,058,435.43/659,459.10
  6. Step 6: Final answer
    x = 390,298.74

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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.