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Finding the Fourth Proportional to 613,433.76, 920,298.28 and 258,549.28

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Solution

The fourth proportional to 613,433.76, 920,298.28 and 258,549.28 is: 387,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,433.76 : 920,298.28 = 258,549.28 : x
  2. Step 2: Convert to fraction form
    613,433.76/920,298.28 = 258,549.28/x
  3. Step 3: Cross multiply
    613,433.76x = 920,298.28 × 258,549.28
  4. Step 4: Simplify right side
    613,433.76x = 237,942,457,679.24
  5. Step 5: Solve for x
    x = 237,942,457,679.24/613,433.76
  6. Step 6: Final answer
    x = 387,886.15

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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.