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Finding the Fourth Proportional to 642,407.16, 886,510.35 and 355,921.50

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Solution

The fourth proportional to 642,407.16, 886,510.35 and 355,921.50 is: 491,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,407.16 : 886,510.35 = 355,921.50 : x
  2. Step 2: Convert to fraction form
    642,407.16/886,510.35 = 355,921.50/x
  3. Step 3: Cross multiply
    642,407.16x = 886,510.35 × 355,921.50
  4. Step 4: Simplify right side
    642,407.16x = 315,528,093,537.53
  5. Step 5: Solve for x
    x = 315,528,093,537.53/642,407.16
  6. Step 6: Final answer
    x = 491,165.28

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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.