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Finding the Fourth Proportional to 478,256.64, 717,335.04 and 212,021.76

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Solution

The fourth proportional to 478,256.64, 717,335.04 and 212,021.76 is: 318,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,256.64 : 717,335.04 = 212,021.76 : x
  2. Step 2: Convert to fraction form
    478,256.64/717,335.04 = 212,021.76/x
  3. Step 3: Cross multiply
    478,256.64x = 717,335.04 × 212,021.76
  4. Step 4: Simplify right side
    478,256.64x = 152,090,637,690.47
  5. Step 5: Solve for x
    x = 152,090,637,690.47/478,256.64
  6. Step 6: Final answer
    x = 318,010.51

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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.