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Finding the Fourth Proportional to 346,963.05, 478,782.36 and 210,978.36

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Solution

The fourth proportional to 346,963.05, 478,782.36 and 210,978.36 is: 291,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,963.05 : 478,782.36 = 210,978.36 : x
  2. Step 2: Convert to fraction form
    346,963.05/478,782.36 = 210,978.36/x
  3. Step 3: Cross multiply
    346,963.05x = 478,782.36 × 210,978.36
  4. Step 4: Simplify right side
    346,963.05x = 101,012,717,109.73
  5. Step 5: Solve for x
    x = 101,012,717,109.73/346,963.05
  6. Step 6: Final answer
    x = 291,133.93

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1.5x scale

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.