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Finding the Fourth Proportional to 409,326.21, 564,855.93 and 228,028.77

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Solution

The fourth proportional to 409,326.21, 564,855.93 and 228,028.77 is: 314,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,326.21 : 564,855.93 = 228,028.77 : x
  2. Step 2: Convert to fraction form
    409,326.21/564,855.93 = 228,028.77/x
  3. Step 3: Cross multiply
    409,326.21x = 564,855.93 × 228,028.77
  4. Step 4: Simplify right side
    409,326.21x = 128,803,402,945.11
  5. Step 5: Solve for x
    x = 128,803,402,945.11/409,326.21
  6. Step 6: Final answer
    x = 314,671.77

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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.