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Finding the Fourth Proportional to 520,083.84, 779,688 and 253,706.88

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Solution

The fourth proportional to 520,083.84, 779,688 and 253,706.88 is: 380,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.84 : 779,688 = 253,706.88 : x
  2. Step 2: Convert to fraction form
    520,083.84/779,688 = 253,706.88/x
  3. Step 3: Cross multiply
    520,083.84x = 779,688 × 253,706.88
  4. Step 4: Simplify right side
    520,083.84x = 197,812,209,853.44
  5. Step 5: Solve for x
    x = 197,812,209,853.44/520,083.84
  6. Step 6: Final answer
    x = 380,346.77

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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.