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Finding the Fourth Proportional to 348,565.70, 522,070.95 and 286,357.70

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Solution

The fourth proportional to 348,565.70, 522,070.95 and 286,357.70 is: 428,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,565.70 : 522,070.95 = 286,357.70 : x
  2. Step 2: Convert to fraction form
    348,565.70/522,070.95 = 286,357.70/x
  3. Step 3: Cross multiply
    348,565.70x = 522,070.95 × 286,357.70
  4. Step 4: Simplify right side
    348,565.70x = 149,499,036,478.82
  5. Step 5: Solve for x
    x = 149,499,036,478.82/348,565.70
  6. Step 6: Final answer
    x = 428,897.73

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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.