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Finding the Fourth Proportional to 685,978.07, 1,028,967.10 and 286,401.32

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Solution

The fourth proportional to 685,978.07, 1,028,967.10 and 286,401.32 is: 429,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,978.07 : 1,028,967.10 = 286,401.32 : x
  2. Step 2: Convert to fraction form
    685,978.07/1,028,967.10 = 286,401.32/x
  3. Step 3: Cross multiply
    685,978.07x = 1,028,967.10 × 286,401.32
  4. Step 4: Simplify right side
    685,978.07x = 294,697,533,674.36
  5. Step 5: Solve for x
    x = 294,697,533,674.36/685,978.07
  6. Step 6: Final answer
    x = 429,601.98

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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.