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Finding the Fourth Proportional to 390,508.51, 585,156.89 and 270,798.96

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Solution

The fourth proportional to 390,508.51, 585,156.89 and 270,798.96 is: 405,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,508.51 : 585,156.89 = 270,798.96 : x
  2. Step 2: Convert to fraction form
    390,508.51/585,156.89 = 270,798.96/x
  3. Step 3: Cross multiply
    390,508.51x = 585,156.89 × 270,798.96
  4. Step 4: Simplify right side
    390,508.51x = 158,459,877,925.83
  5. Step 5: Solve for x
    x = 158,459,877,925.83/390,508.51
  6. Step 6: Final answer
    x = 405,778.30

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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.