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Finding the Fourth Proportional to 315,475.20, 473,212.80 and 289,670.40

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Solution

The fourth proportional to 315,475.20, 473,212.80 and 289,670.40 is: 434,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,475.20 : 473,212.80 = 289,670.40 : x
  2. Step 2: Convert to fraction form
    315,475.20/473,212.80 = 289,670.40/x
  3. Step 3: Cross multiply
    315,475.20x = 473,212.80 × 289,670.40
  4. Step 4: Simplify right side
    315,475.20x = 137,075,741,061.12
  5. Step 5: Solve for x
    x = 137,075,741,061.12/315,475.20
  6. Step 6: Final answer
    x = 434,505.60

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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.