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Finding the Fourth Proportional to 353,810.40, 488,735.94 and 282,689.16

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Solution

The fourth proportional to 353,810.40, 488,735.94 and 282,689.16 is: 390,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,810.40 : 488,735.94 = 282,689.16 : x
  2. Step 2: Convert to fraction form
    353,810.40/488,735.94 = 282,689.16/x
  3. Step 3: Cross multiply
    353,810.40x = 488,735.94 × 282,689.16
  4. Step 4: Simplify right side
    353,810.40x = 138,160,352,340.41
  5. Step 5: Solve for x
    x = 138,160,352,340.41/353,810.40
  6. Step 6: Final answer
    x = 390,492.63

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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.