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Finding the Fourth Proportional to 473,025.20, 709,537.80 and 402,166.40

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Solution

The fourth proportional to 473,025.20, 709,537.80 and 402,166.40 is: 603,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,025.20 : 709,537.80 = 402,166.40 : x
  2. Step 2: Convert to fraction form
    473,025.20/709,537.80 = 402,166.40/x
  3. Step 3: Cross multiply
    473,025.20x = 709,537.80 × 402,166.40
  4. Step 4: Simplify right side
    473,025.20x = 285,352,262,689.92
  5. Step 5: Solve for x
    x = 285,352,262,689.92/473,025.20
  6. Step 6: Final answer
    x = 603,249.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.