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Finding the Fourth Proportional to 313,643.71, 470,702.16 and 145,282.16

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Solution

The fourth proportional to 313,643.71, 470,702.16 and 145,282.16 is: 218,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,643.71 : 470,702.16 = 145,282.16 : x
  2. Step 2: Convert to fraction form
    313,643.71/470,702.16 = 145,282.16/x
  3. Step 3: Cross multiply
    313,643.71x = 470,702.16 × 145,282.16
  4. Step 4: Simplify right side
    313,643.71x = 68,384,625,459.13
  5. Step 5: Solve for x
    x = 68,384,625,459.13/313,643.71
  6. Step 6: Final answer
    x = 218,032.83

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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.