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Finding the Fourth Proportional to 390,701.23, 586,051.84 and 257,550.35

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Solution

The fourth proportional to 390,701.23, 586,051.84 and 257,550.35 is: 386,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,701.23 : 586,051.84 = 257,550.35 : x
  2. Step 2: Convert to fraction form
    390,701.23/586,051.84 = 257,550.35/x
  3. Step 3: Cross multiply
    390,701.23x = 586,051.84 × 257,550.35
  4. Step 4: Simplify right side
    390,701.23x = 150,937,854,997.60
  5. Step 5: Solve for x
    x = 150,937,854,997.60/390,701.23
  6. Step 6: Final answer
    x = 386,325.52

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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.