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Finding the Fourth Proportional to 909,928, 1,255,700.64 and 507,520

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Solution

The fourth proportional to 909,928, 1,255,700.64 and 507,520 is: 700,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,928 : 1,255,700.64 = 507,520 : x
  2. Step 2: Convert to fraction form
    909,928/1,255,700.64 = 507,520/x
  3. Step 3: Cross multiply
    909,928x = 1,255,700.64 × 507,520
  4. Step 4: Simplify right side
    909,928x = 637,293,188,812.80
  5. Step 5: Solve for x
    x = 637,293,188,812.80/909,928
  6. Step 6: Final answer
    x = 700,377.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.