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Finding the Fourth Proportional to 742,978.78, 1,114,234.79 and 316,510.13

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Solution

The fourth proportional to 742,978.78, 1,114,234.79 and 316,510.13 is: 474,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,978.78 : 1,114,234.79 = 316,510.13 : x
  2. Step 2: Convert to fraction form
    742,978.78/1,114,234.79 = 316,510.13/x
  3. Step 3: Cross multiply
    742,978.78x = 1,114,234.79 × 316,510.13
  4. Step 4: Simplify right side
    742,978.78x = 352,666,599,436.46
  5. Step 5: Solve for x
    x = 352,666,599,436.46/742,978.78
  6. Step 6: Final answer
    x = 474,665.78

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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.