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Finding the Fourth Proportional to 402,543.43, 554,895.90 and 341,062.70

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Solution

The fourth proportional to 402,543.43, 554,895.90 and 341,062.70 is: 470,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,543.43 : 554,895.90 = 341,062.70 : x
  2. Step 2: Convert to fraction form
    402,543.43/554,895.90 = 341,062.70/x
  3. Step 3: Cross multiply
    402,543.43x = 554,895.90 × 341,062.70
  4. Step 4: Simplify right side
    402,543.43x = 189,254,291,098.45
  5. Step 5: Solve for x
    x = 189,254,291,098.45/402,543.43
  6. Step 6: Final answer
    x = 470,146.27

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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.