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Finding the Fourth Proportional to 978,462.10, 1,467,838.95 and 347,323.06

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Solution

The fourth proportional to 978,462.10, 1,467,838.95 and 347,323.06 is: 521,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,462.10 : 1,467,838.95 = 347,323.06 : x
  2. Step 2: Convert to fraction form
    978,462.10/1,467,838.95 = 347,323.06/x
  3. Step 3: Cross multiply
    978,462.10x = 1,467,838.95 × 347,323.06
  4. Step 4: Simplify right side
    978,462.10x = 509,814,315,701.19
  5. Step 5: Solve for x
    x = 509,814,315,701.19/978,462.10
  6. Step 6: Final answer
    x = 521,036.34

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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.