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Finding the Fourth Proportional to 384,903.10, 577,354.65 and 314,919.10

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Solution

The fourth proportional to 384,903.10, 577,354.65 and 314,919.10 is: 472,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,903.10 : 577,354.65 = 314,919.10 : x
  2. Step 2: Convert to fraction form
    384,903.10/577,354.65 = 314,919.10/x
  3. Step 3: Cross multiply
    384,903.10x = 577,354.65 × 314,919.10
  4. Step 4: Simplify right side
    384,903.10x = 181,820,006,758.82
  5. Step 5: Solve for x
    x = 181,820,006,758.82/384,903.10
  6. Step 6: Final answer
    x = 472,378.65

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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.