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Finding the Fourth Proportional to 309,130.40, 463,695.60 and 151,666.40

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Solution

The fourth proportional to 309,130.40, 463,695.60 and 151,666.40 is: 227,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,130.40 : 463,695.60 = 151,666.40 : x
  2. Step 2: Convert to fraction form
    309,130.40/463,695.60 = 151,666.40/x
  3. Step 3: Cross multiply
    309,130.40x = 463,695.60 × 151,666.40
  4. Step 4: Simplify right side
    309,130.40x = 70,327,042,347.84
  5. Step 5: Solve for x
    x = 70,327,042,347.84/309,130.40
  6. Step 6: Final answer
    x = 227,499.60

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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.