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Finding the Fourth Proportional to 473,000.20, 709,500.30 and 402,141.40

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Solution

The fourth proportional to 473,000.20, 709,500.30 and 402,141.40 is: 603,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,000.20 : 709,500.30 = 402,141.40 : x
  2. Step 2: Convert to fraction form
    473,000.20/709,500.30 = 402,141.40/x
  3. Step 3: Cross multiply
    473,000.20x = 709,500.30 × 402,141.40
  4. Step 4: Simplify right side
    473,000.20x = 285,319,443,942.42
  5. Step 5: Solve for x
    x = 285,319,443,942.42/473,000.20
  6. Step 6: Final answer
    x = 603,212.10

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1.5x scale

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.