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Finding the Fourth Proportional to 261,152, 358,042.69 and 256,428.08

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Solution

The fourth proportional to 261,152, 358,042.69 and 256,428.08 is: 351,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,152 : 358,042.69 = 256,428.08 : x
  2. Step 2: Convert to fraction form
    261,152/358,042.69 = 256,428.08/x
  3. Step 3: Cross multiply
    261,152x = 358,042.69 × 256,428.08
  4. Step 4: Simplify right side
    261,152x = 91,812,199,554.74
  5. Step 5: Solve for x
    x = 91,812,199,554.74/261,152
  6. Step 6: Final answer
    x = 351,566.14

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1.5x scale

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.