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Finding the Fourth Proportional to 310,304.01, 465,446.70 and 85,678.14

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Solution

The fourth proportional to 310,304.01, 465,446.70 and 85,678.14 is: 128,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,304.01 : 465,446.70 = 85,678.14 : x
  2. Step 2: Convert to fraction form
    310,304.01/465,446.70 = 85,678.14/x
  3. Step 3: Cross multiply
    310,304.01x = 465,446.70 × 85,678.14
  4. Step 4: Simplify right side
    310,304.01x = 39,878,607,525.14
  5. Step 5: Solve for x
    x = 39,878,607,525.14/310,304.01
  6. Step 6: Final answer
    x = 128,514.64

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1.5x scale

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.