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Finding the Fourth Proportional to 409,208.90, 564,736.66 and 248,070.74

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Solution

The fourth proportional to 409,208.90, 564,736.66 and 248,070.74 is: 342,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,208.90 : 564,736.66 = 248,070.74 : x
  2. Step 2: Convert to fraction form
    409,208.90/564,736.66 = 248,070.74/x
  3. Step 3: Cross multiply
    409,208.90x = 564,736.66 × 248,070.74
  4. Step 4: Simplify right side
    409,208.90x = 140,094,637,707.47
  5. Step 5: Solve for x
    x = 140,094,637,707.47/409,208.90
  6. Step 6: Final answer
    x = 342,354.82

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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.