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Finding the Fourth Proportional to 564,072.75, 778,420.40 and 309,424.55

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Solution

The fourth proportional to 564,072.75, 778,420.40 and 309,424.55 is: 427,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,072.75 : 778,420.40 = 309,424.55 : x
  2. Step 2: Convert to fraction form
    564,072.75/778,420.40 = 309,424.55/x
  3. Step 3: Cross multiply
    564,072.75x = 778,420.40 × 309,424.55
  4. Step 4: Simplify right side
    564,072.75x = 240,862,376,541.60
  5. Step 5: Solve for x
    x = 240,862,376,541.60/564,072.75
  6. Step 6: Final answer
    x = 427,005.87

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1.5x scale

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.