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Finding the Fourth Proportional to 535,439.70, 803,547.99 and 431,513.46

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Solution

The fourth proportional to 535,439.70, 803,547.99 and 431,513.46 is: 647,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,439.70 : 803,547.99 = 431,513.46 : x
  2. Step 2: Convert to fraction form
    535,439.70/803,547.99 = 431,513.46/x
  3. Step 3: Cross multiply
    535,439.70x = 803,547.99 × 431,513.46
  4. Step 4: Simplify right side
    535,439.70x = 346,741,773,440.95
  5. Step 5: Solve for x
    x = 346,741,773,440.95/535,439.70
  6. Step 6: Final answer
    x = 647,583.24

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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.