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Finding the Fourth Proportional to 402,565.77, 555,664.55 and 259,325.37

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Solution

The fourth proportional to 402,565.77, 555,664.55 and 259,325.37 is: 357,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,565.77 : 555,664.55 = 259,325.37 : x
  2. Step 2: Convert to fraction form
    402,565.77/555,664.55 = 259,325.37/x
  3. Step 3: Cross multiply
    402,565.77x = 555,664.55 × 259,325.37
  4. Step 4: Simplify right side
    402,565.77x = 144,097,913,728.01
  5. Step 5: Solve for x
    x = 144,097,913,728.01/402,565.77
  6. Step 6: Final answer
    x = 357,948.75

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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.