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Finding the Fourth Proportional to 302,938.98, 454,407.08 and 78,280.31

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Solution

The fourth proportional to 302,938.98, 454,407.08 and 78,280.31 is: 117,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,938.98 : 454,407.08 = 78,280.31 : x
  2. Step 2: Convert to fraction form
    302,938.98/454,407.08 = 78,280.31/x
  3. Step 3: Cross multiply
    302,938.98x = 454,407.08 × 78,280.31
  4. Step 4: Simplify right side
    302,938.98x = 35,571,127,088.59
  5. Step 5: Solve for x
    x = 35,571,127,088.59/302,938.98
  6. Step 6: Final answer
    x = 117,420.11

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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.