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Finding the Fourth Proportional to 659,459.80, 989,772.90 and 564,981.40

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Solution

The fourth proportional to 659,459.80, 989,772.90 and 564,981.40 is: 847,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,459.80 : 989,772.90 = 564,981.40 : x
  2. Step 2: Convert to fraction form
    659,459.80/989,772.90 = 564,981.40/x
  3. Step 3: Cross multiply
    659,459.80x = 989,772.90 × 564,981.40
  4. Step 4: Simplify right side
    659,459.80x = 559,203,278,724.06
  5. Step 5: Solve for x
    x = 559,203,278,724.06/659,459.80
  6. Step 6: Final answer
    x = 847,971.75

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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.