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Finding the Fourth Proportional to 356,124.77, 534,448.52 and 286,840.61

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Solution

The fourth proportional to 356,124.77, 534,448.52 and 286,840.61 is: 430,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,124.77 : 534,448.52 = 286,840.61 : x
  2. Step 2: Convert to fraction form
    356,124.77/534,448.52 = 286,840.61/x
  3. Step 3: Cross multiply
    356,124.77x = 534,448.52 × 286,840.61
  4. Step 4: Simplify right side
    356,124.77x = 153,301,538,056.19
  5. Step 5: Solve for x
    x = 153,301,538,056.19/356,124.77
  6. Step 6: Final answer
    x = 430,471.43

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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.