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Finding the Fourth Proportional to 564,272.06, 778,693.30 and 309,627.50

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Solution

The fourth proportional to 564,272.06, 778,693.30 and 309,627.50 is: 427,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,272.06 : 778,693.30 = 309,627.50 : x
  2. Step 2: Convert to fraction form
    564,272.06/778,693.30 = 309,627.50/x
  3. Step 3: Cross multiply
    564,272.06x = 778,693.30 × 309,627.50
  4. Step 4: Simplify right side
    564,272.06x = 241,104,855,078.22
  5. Step 5: Solve for x
    x = 241,104,855,078.22/564,272.06
  6. Step 6: Final answer
    x = 427,284.77

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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.