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Finding the Fourth Proportional to 261,135.81, 358,020.53 and 256,411.89

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Solution

The fourth proportional to 261,135.81, 358,020.53 and 256,411.89 is: 351,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,135.81 : 358,020.53 = 256,411.89 : x
  2. Step 2: Convert to fraction form
    261,135.81/358,020.53 = 256,411.89/x
  3. Step 3: Cross multiply
    261,135.81x = 358,020.53 × 256,411.89
  4. Step 4: Simplify right side
    261,135.81x = 91,800,721,397.13
  5. Step 5: Solve for x
    x = 91,800,721,397.13/261,135.81
  6. Step 6: Final answer
    x = 351,543.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.