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Finding the Fourth Proportional to 509,482.96, 763,059 and 243,430.48

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Solution

The fourth proportional to 509,482.96, 763,059 and 243,430.48 is: 364,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,482.96 : 763,059 = 243,430.48 : x
  2. Step 2: Convert to fraction form
    509,482.96/763,059 = 243,430.48/x
  3. Step 3: Cross multiply
    509,482.96x = 763,059 × 243,430.48
  4. Step 4: Simplify right side
    509,482.96x = 185,751,818,638.32
  5. Step 5: Solve for x
    x = 185,751,818,638.32/509,482.96
  6. Step 6: Final answer
    x = 364,588.87

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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.