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Finding the Fourth Proportional to 564,492.10, 779,007.93 and 309,866.50

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Solution

The fourth proportional to 564,492.10, 779,007.93 and 309,866.50 is: 427,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,492.10 : 779,007.93 = 309,866.50 : x
  2. Step 2: Convert to fraction form
    564,492.10/779,007.93 = 309,866.50/x
  3. Step 3: Cross multiply
    564,492.10x = 779,007.93 × 309,866.50
  4. Step 4: Simplify right side
    564,492.10x = 241,388,460,741.35
  5. Step 5: Solve for x
    x = 241,388,460,741.35/564,492.10
  6. Step 6: Final answer
    x = 427,620.62

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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.