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Finding the Fourth Proportional to 461,959.78, 637,486.50 and 289,970.14

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Solution

The fourth proportional to 461,959.78, 637,486.50 and 289,970.14 is: 400,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,959.78 : 637,486.50 = 289,970.14 : x
  2. Step 2: Convert to fraction form
    461,959.78/637,486.50 = 289,970.14/x
  3. Step 3: Cross multiply
    461,959.78x = 637,486.50 × 289,970.14
  4. Step 4: Simplify right side
    461,959.78x = 184,852,049,653.11
  5. Step 5: Solve for x
    x = 184,852,049,653.11/461,959.78
  6. Step 6: Final answer
    x = 400,147.50

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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.