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Finding the Fourth Proportional to 310,152, 428,009.76 and 168,840

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Solution

The fourth proportional to 310,152, 428,009.76 and 168,840 is: 232,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,152 : 428,009.76 = 168,840 : x
  2. Step 2: Convert to fraction form
    310,152/428,009.76 = 168,840/x
  3. Step 3: Cross multiply
    310,152x = 428,009.76 × 168,840
  4. Step 4: Simplify right side
    310,152x = 72,265,167,878.40
  5. Step 5: Solve for x
    x = 72,265,167,878.40/310,152
  6. Step 6: Final answer
    x = 232,999.20

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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.