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Finding the Fourth Proportional to 651,206.40, 978,307.20 and 459,522.24

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Solution

The fourth proportional to 651,206.40, 978,307.20 and 459,522.24 is: 690,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,206.40 : 978,307.20 = 459,522.24 : x
  2. Step 2: Convert to fraction form
    651,206.40/978,307.20 = 459,522.24/x
  3. Step 3: Cross multiply
    651,206.40x = 978,307.20 × 459,522.24
  4. Step 4: Simplify right side
    651,206.40x = 449,553,915,952.13
  5. Step 5: Solve for x
    x = 449,553,915,952.13/651,206.40
  6. Step 6: Final answer
    x = 690,340.14

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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.