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Finding the Fourth Proportional to 304,078.60, 456,117.90 and 289,563.40

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Solution

The fourth proportional to 304,078.60, 456,117.90 and 289,563.40 is: 434,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,078.60 : 456,117.90 = 289,563.40 : x
  2. Step 2: Convert to fraction form
    304,078.60/456,117.90 = 289,563.40/x
  3. Step 3: Cross multiply
    304,078.60x = 456,117.90 × 289,563.40
  4. Step 4: Simplify right side
    304,078.60x = 132,075,049,924.86
  5. Step 5: Solve for x
    x = 132,075,049,924.86/304,078.60
  6. Step 6: Final answer
    x = 434,345.10

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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.