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Finding the Fourth Proportional to 473,444.10, 708,416.55 and 431,453.70

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Solution

The fourth proportional to 473,444.10, 708,416.55 and 431,453.70 is: 645,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,444.10 : 708,416.55 = 431,453.70 : x
  2. Step 2: Convert to fraction form
    473,444.10/708,416.55 = 431,453.70/x
  3. Step 3: Cross multiply
    473,444.10x = 708,416.55 × 431,453.70
  4. Step 4: Simplify right side
    473,444.10x = 305,648,941,638.74
  5. Step 5: Solve for x
    x = 305,648,941,638.74/473,444.10
  6. Step 6: Final answer
    x = 645,586.12

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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.