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Finding the Fourth Proportional to 314,346.91, 471,515.76 and 77,689.61

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Solution

The fourth proportional to 314,346.91, 471,515.76 and 77,689.61 is: 116,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,346.91 : 471,515.76 = 77,689.61 : x
  2. Step 2: Convert to fraction form
    314,346.91/471,515.76 = 77,689.61/x
  3. Step 3: Cross multiply
    314,346.91x = 471,515.76 × 77,689.61
  4. Step 4: Simplify right side
    314,346.91x = 36,631,875,503.25
  5. Step 5: Solve for x
    x = 36,631,875,503.25/314,346.91
  6. Step 6: Final answer
    x = 116,533.28

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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.