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Finding the Fourth Proportional to 909,864, 1,255,612.32 and 507,456

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Solution

The fourth proportional to 909,864, 1,255,612.32 and 507,456 is: 700,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,864 : 1,255,612.32 = 507,456 : x
  2. Step 2: Convert to fraction form
    909,864/1,255,612.32 = 507,456/x
  3. Step 3: Cross multiply
    909,864x = 1,255,612.32 × 507,456
  4. Step 4: Simplify right side
    909,864x = 637,168,005,457.92
  5. Step 5: Solve for x
    x = 637,168,005,457.92/909,864
  6. Step 6: Final answer
    x = 700,289.28

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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.