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Finding the Fourth Proportional to 472,421.80, 706,904.70 and 348,005.80

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Solution

The fourth proportional to 472,421.80, 706,904.70 and 348,005.80 is: 520,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,421.80 : 706,904.70 = 348,005.80 : x
  2. Step 2: Convert to fraction form
    472,421.80/706,904.70 = 348,005.80/x
  3. Step 3: Cross multiply
    472,421.80x = 706,904.70 × 348,005.80
  4. Step 4: Simplify right side
    472,421.80x = 246,006,935,647.26
  5. Step 5: Solve for x
    x = 246,006,935,647.26/472,421.80
  6. Step 6: Final answer
    x = 520,735.78

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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.