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Finding the Fourth Proportional to 346,626, 478,261.80 and 201,345.39

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Solution

The fourth proportional to 346,626, 478,261.80 and 201,345.39 is: 277,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,626 : 478,261.80 = 201,345.39 : x
  2. Step 2: Convert to fraction form
    346,626/478,261.80 = 201,345.39/x
  3. Step 3: Cross multiply
    346,626x = 478,261.80 × 201,345.39
  4. Step 4: Simplify right side
    346,626x = 96,295,808,643.10
  5. Step 5: Solve for x
    x = 96,295,808,643.10/346,626
  6. Step 6: Final answer
    x = 277,808.96

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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.