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Finding the Fourth Proportional to 520,688.50, 780,733.86 and 204,973.18

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Solution

The fourth proportional to 520,688.50, 780,733.86 and 204,973.18 is: 307,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,688.50 : 780,733.86 = 204,973.18 : x
  2. Step 2: Convert to fraction form
    520,688.50/780,733.86 = 204,973.18/x
  3. Step 3: Cross multiply
    520,688.50x = 780,733.86 × 204,973.18
  4. Step 4: Simplify right side
    520,688.50x = 160,029,502,017.88
  5. Step 5: Solve for x
    x = 160,029,502,017.88/520,688.50
  6. Step 6: Final answer
    x = 307,342.11

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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.