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Finding the Fourth Proportional to 564,298.02, 778,728.06 and 309,658.32

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Solution

The fourth proportional to 564,298.02, 778,728.06 and 309,658.32 is: 427,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,298.02 : 778,728.06 = 309,658.32 : x
  2. Step 2: Convert to fraction form
    564,298.02/778,728.06 = 309,658.32/x
  3. Step 3: Cross multiply
    564,298.02x = 778,728.06 × 309,658.32
  4. Step 4: Simplify right side
    564,298.02x = 241,139,622,796.46
  5. Step 5: Solve for x
    x = 241,139,622,796.46/564,298.02
  6. Step 6: Final answer
    x = 427,326.72

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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.