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Finding the Fourth Proportional to 517,802.28, 776,443.66 and 301,731

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Solution

The fourth proportional to 517,802.28, 776,443.66 and 301,731 is: 452,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,802.28 : 776,443.66 = 301,731 : x
  2. Step 2: Convert to fraction form
    517,802.28/776,443.66 = 301,731/x
  3. Step 3: Cross multiply
    517,802.28x = 776,443.66 × 301,731
  4. Step 4: Simplify right side
    517,802.28x = 234,277,121,975.46
  5. Step 5: Solve for x
    x = 234,277,121,975.46/517,802.28
  6. Step 6: Final answer
    x = 452,445.13

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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.