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Finding the Fourth Proportional to 564,301.90, 778,735.54 and 306,178.77

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Solution

The fourth proportional to 564,301.90, 778,735.54 and 306,178.77 is: 422,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,301.90 : 778,735.54 = 306,178.77 : x
  2. Step 2: Convert to fraction form
    564,301.90/778,735.54 = 306,178.77/x
  3. Step 3: Cross multiply
    564,301.90x = 778,735.54 × 306,178.77
  4. Step 4: Simplify right side
    564,301.90x = 238,432,289,792.49
  5. Step 5: Solve for x
    x = 238,432,289,792.49/564,301.90
  6. Step 6: Final answer
    x = 422,526.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.