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Finding the Fourth Proportional to 209,511.84, 314,018.16 and 145,988.16

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Solution

The fourth proportional to 209,511.84, 314,018.16 and 145,988.16 is: 218,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,511.84 : 314,018.16 = 145,988.16 : x
  2. Step 2: Convert to fraction form
    209,511.84/314,018.16 = 145,988.16/x
  3. Step 3: Cross multiply
    209,511.84x = 314,018.16 × 145,988.16
  4. Step 4: Simplify right side
    209,511.84x = 45,842,933,384.99
  5. Step 5: Solve for x
    x = 45,842,933,384.99/209,511.84
  6. Step 6: Final answer
    x = 218,808.32

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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.