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Finding the Fourth Proportional to 603,902.40, 904,816.80 and 287,678.40

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Solution

The fourth proportional to 603,902.40, 904,816.80 and 287,678.40 is: 431,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,902.40 : 904,816.80 = 287,678.40 : x
  2. Step 2: Convert to fraction form
    603,902.40/904,816.80 = 287,678.40/x
  3. Step 3: Cross multiply
    603,902.40x = 904,816.80 × 287,678.40
  4. Step 4: Simplify right side
    603,902.40x = 260,296,249,317.12
  5. Step 5: Solve for x
    x = 260,296,249,317.12/603,902.40
  6. Step 6: Final answer
    x = 431,023.70

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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.