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Finding the Fourth Proportional to 385,775.10, 578,451.24 and 119,461.68

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Solution

The fourth proportional to 385,775.10, 578,451.24 and 119,461.68 is: 179,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,775.10 : 578,451.24 = 119,461.68 : x
  2. Step 2: Convert to fraction form
    385,775.10/578,451.24 = 119,461.68/x
  3. Step 3: Cross multiply
    385,775.10x = 578,451.24 × 119,461.68
  4. Step 4: Simplify right side
    385,775.10x = 69,102,756,331.17
  5. Step 5: Solve for x
    x = 69,102,756,331.17/385,775.10
  6. Step 6: Final answer
    x = 179,127.05

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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.