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Finding the Fourth Proportional to 310,402, 428,354.76 and 169,090

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Solution

The fourth proportional to 310,402, 428,354.76 and 169,090 is: 233,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,402 : 428,354.76 = 169,090 : x
  2. Step 2: Convert to fraction form
    310,402/428,354.76 = 169,090/x
  3. Step 3: Cross multiply
    310,402x = 428,354.76 × 169,090
  4. Step 4: Simplify right side
    310,402x = 72,430,506,368.40
  5. Step 5: Solve for x
    x = 72,430,506,368.40/310,402
  6. Step 6: Final answer
    x = 233,344.20

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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.