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Finding the Fourth Proportional to 473,021.20, 709,531.80 and 402,162.40

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Solution

The fourth proportional to 473,021.20, 709,531.80 and 402,162.40 is: 603,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,021.20 : 709,531.80 = 402,162.40 : x
  2. Step 2: Convert to fraction form
    473,021.20/709,531.80 = 402,162.40/x
  3. Step 3: Cross multiply
    473,021.20x = 709,531.80 × 402,162.40
  4. Step 4: Simplify right side
    473,021.20x = 285,347,011,564.32
  5. Step 5: Solve for x
    x = 285,347,011,564.32/473,021.20
  6. Step 6: Final answer
    x = 603,243.60

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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.