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Finding the Fourth Proportional to 507,898.90, 700,908.36 and 278,477.14

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Solution

The fourth proportional to 507,898.90, 700,908.36 and 278,477.14 is: 384,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,898.90 : 700,908.36 = 278,477.14 : x
  2. Step 2: Convert to fraction form
    507,898.90/700,908.36 = 278,477.14/x
  3. Step 3: Cross multiply
    507,898.90x = 700,908.36 × 278,477.14
  4. Step 4: Simplify right side
    507,898.90x = 195,186,955,494.89
  5. Step 5: Solve for x
    x = 195,186,955,494.89/507,898.90
  6. Step 6: Final answer
    x = 384,302.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.