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Finding the Fourth Proportional to 459,710.93, 634,488.46 and 287,708.85

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Solution

The fourth proportional to 459,710.93, 634,488.46 and 287,708.85 is: 397,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,710.93 : 634,488.46 = 287,708.85 : x
  2. Step 2: Convert to fraction form
    459,710.93/634,488.46 = 287,708.85/x
  3. Step 3: Cross multiply
    459,710.93x = 634,488.46 × 287,708.85
  4. Step 4: Simplify right side
    459,710.93x = 182,547,944,445.60
  5. Step 5: Solve for x
    x = 182,547,944,445.60/459,710.93
  6. Step 6: Final answer
    x = 397,092.89

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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.