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Finding the Fourth Proportional to 509,484.96, 763,062 and 243,432.48

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Solution

The fourth proportional to 509,484.96, 763,062 and 243,432.48 is: 364,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,484.96 : 763,062 = 243,432.48 : x
  2. Step 2: Convert to fraction form
    509,484.96/763,062 = 243,432.48/x
  3. Step 3: Cross multiply
    509,484.96x = 763,062 × 243,432.48
  4. Step 4: Simplify right side
    509,484.96x = 185,754,075,053.76
  5. Step 5: Solve for x
    x = 185,754,075,053.76/509,484.96
  6. Step 6: Final answer
    x = 364,591.87

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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.