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Finding the Fourth Proportional to 385,616.46, 578,407.65 and 105,133.74

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Solution

The fourth proportional to 385,616.46, 578,407.65 and 105,133.74 is: 157,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,616.46 : 578,407.65 = 105,133.74 : x
  2. Step 2: Convert to fraction form
    385,616.46/578,407.65 = 105,133.74/x
  3. Step 3: Cross multiply
    385,616.46x = 578,407.65 × 105,133.74
  4. Step 4: Simplify right side
    385,616.46x = 60,810,159,489.11
  5. Step 5: Solve for x
    x = 60,810,159,489.11/385,616.46
  6. Step 6: Final answer
    x = 157,695.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.