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Finding the Fourth Proportional to 540,526.10, 745,921.85 and 311,128.43

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Solution

The fourth proportional to 540,526.10, 745,921.85 and 311,128.43 is: 429,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,526.10 : 745,921.85 = 311,128.43 : x
  2. Step 2: Convert to fraction form
    540,526.10/745,921.85 = 311,128.43/x
  3. Step 3: Cross multiply
    540,526.10x = 745,921.85 × 311,128.43
  4. Step 4: Simplify right side
    540,526.10x = 232,077,488,807.94
  5. Step 5: Solve for x
    x = 232,077,488,807.94/540,526.10
  6. Step 6: Final answer
    x = 429,354.83

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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.