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Finding the Fourth Proportional to 347,166.40, 520,749.60 and 288,117.40

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Solution

The fourth proportional to 347,166.40, 520,749.60 and 288,117.40 is: 432,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,166.40 : 520,749.60 = 288,117.40 : x
  2. Step 2: Convert to fraction form
    347,166.40/520,749.60 = 288,117.40/x
  3. Step 3: Cross multiply
    347,166.40x = 520,749.60 × 288,117.40
  4. Step 4: Simplify right side
    347,166.40x = 150,037,020,803.04
  5. Step 5: Solve for x
    x = 150,037,020,803.04/347,166.40
  6. Step 6: Final answer
    x = 432,176.10

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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.