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Finding the Fourth Proportional to 315,599.31, 473,403.02 and 105,237.18

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Solution

The fourth proportional to 315,599.31, 473,403.02 and 105,237.18 is: 157,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,599.31 : 473,403.02 = 105,237.18 : x
  2. Step 2: Convert to fraction form
    315,599.31/473,403.02 = 105,237.18/x
  3. Step 3: Cross multiply
    315,599.31x = 473,403.02 × 105,237.18
  4. Step 4: Simplify right side
    315,599.31x = 49,819,598,302.10
  5. Step 5: Solve for x
    x = 49,819,598,302.10/315,599.31
  6. Step 6: Final answer
    x = 157,857.12

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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.