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Finding the Fourth Proportional to 472,190, 708,423.72 and 139,774.64

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Solution

The fourth proportional to 472,190, 708,423.72 and 139,774.64 is: 209,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,190 : 708,423.72 = 139,774.64 : x
  2. Step 2: Convert to fraction form
    472,190/708,423.72 = 139,774.64/x
  3. Step 3: Cross multiply
    472,190x = 708,423.72 × 139,774.64
  4. Step 4: Simplify right side
    472,190x = 99,019,670,430.46
  5. Step 5: Solve for x
    x = 99,019,670,430.46/472,190
  6. Step 6: Final answer
    x = 209,703.02

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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.