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Finding the Fourth Proportional to 507,909.59, 700,773.43 and 400,145.17

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Solution

The fourth proportional to 507,909.59, 700,773.43 and 400,145.17 is: 552,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,909.59 : 700,773.43 = 400,145.17 : x
  2. Step 2: Convert to fraction form
    507,909.59/700,773.43 = 400,145.17/x
  3. Step 3: Cross multiply
    507,909.59x = 700,773.43 × 400,145.17
  4. Step 4: Simplify right side
    507,909.59x = 280,411,097,774.24
  5. Step 5: Solve for x
    x = 280,411,097,774.24/507,909.59
  6. Step 6: Final answer
    x = 552,088.61

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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.