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Finding the Fourth Proportional to 510,645.40, 766,313.70 and 230,018.20

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Solution

The fourth proportional to 510,645.40, 766,313.70 and 230,018.20 is: 345,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,645.40 : 766,313.70 = 230,018.20 : x
  2. Step 2: Convert to fraction form
    510,645.40/766,313.70 = 230,018.20/x
  3. Step 3: Cross multiply
    510,645.40x = 766,313.70 × 230,018.20
  4. Step 4: Simplify right side
    510,645.40x = 176,266,097,909.34
  5. Step 5: Solve for x
    x = 176,266,097,909.34/510,645.40
  6. Step 6: Final answer
    x = 345,182.97

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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.