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Finding the Fourth Proportional to 315,457.20, 472,408.20 and 209,703.60

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Solution

The fourth proportional to 315,457.20, 472,408.20 and 209,703.60 is: 314,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,457.20 : 472,408.20 = 209,703.60 : x
  2. Step 2: Convert to fraction form
    315,457.20/472,408.20 = 209,703.60/x
  3. Step 3: Cross multiply
    315,457.20x = 472,408.20 × 209,703.60
  4. Step 4: Simplify right side
    315,457.20x = 99,065,700,209.52
  5. Step 5: Solve for x
    x = 99,065,700,209.52/315,457.20
  6. Step 6: Final answer
    x = 314,038.48

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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.