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Finding the Fourth Proportional to 564,269.94, 778,681.89 and 309,618.90

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Solution

The fourth proportional to 564,269.94, 778,681.89 and 309,618.90 is: 427,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,269.94 : 778,681.89 = 309,618.90 : x
  2. Step 2: Convert to fraction form
    564,269.94/778,681.89 = 309,618.90/x
  3. Step 3: Cross multiply
    564,269.94x = 778,681.89 × 309,618.90
  4. Step 4: Simplify right side
    564,269.94x = 241,094,630,231.72
  5. Step 5: Solve for x
    x = 241,094,630,231.72/564,269.94
  6. Step 6: Final answer
    x = 427,268.25

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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.