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Finding the Fourth Proportional to 507,477.95, 700,308.85 and 278,024.06

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Solution

The fourth proportional to 507,477.95, 700,308.85 and 278,024.06 is: 383,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,477.95 : 700,308.85 = 278,024.06 : x
  2. Step 2: Convert to fraction form
    507,477.95/700,308.85 = 278,024.06/x
  3. Step 3: Cross multiply
    507,477.95x = 700,308.85 × 278,024.06
  4. Step 4: Simplify right side
    507,477.95x = 194,702,709,730.93
  5. Step 5: Solve for x
    x = 194,702,709,730.93/507,477.95
  6. Step 6: Final answer
    x = 383,667.33

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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.